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Finding the Fourth Proportional to 1,497.84, 2,246.85 and 1,416.12

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Solution

The fourth proportional to 1,497.84, 2,246.85 and 1,416.12 is: 2,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.84 : 2,246.85 = 1,416.12 : x
  2. Step 2: Convert to fraction form
    1,497.84/2,246.85 = 1,416.12/x
  3. Step 3: Cross multiply
    1,497.84x = 2,246.85 × 1,416.12
  4. Step 4: Simplify right side
    1,497.84x = 3,181,809.22
  5. Step 5: Solve for x
    x = 3,181,809.22/1,497.84
  6. Step 6: Final answer
    x = 2,124.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.