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Finding the Fourth Proportional to 1,665.68, 2,497.80 and 885.50

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Solution

The fourth proportional to 1,665.68, 2,497.80 and 885.50 is: 1,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.68 : 2,497.80 = 885.50 : x
  2. Step 2: Convert to fraction form
    1,665.68/2,497.80 = 885.50/x
  3. Step 3: Cross multiply
    1,665.68x = 2,497.80 × 885.50
  4. Step 4: Simplify right side
    1,665.68x = 2,211,801.90
  5. Step 5: Solve for x
    x = 2,211,801.90/1,665.68
  6. Step 6: Final answer
    x = 1,327.87

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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.