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Finding the Fourth Proportional to 2,497.55, 3,746.30 and 854.10

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Solution

The fourth proportional to 2,497.55, 3,746.30 and 854.10 is: 1,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.55 : 3,746.30 = 854.10 : x
  2. Step 2: Convert to fraction form
    2,497.55/3,746.30 = 854.10/x
  3. Step 3: Cross multiply
    2,497.55x = 3,746.30 × 854.10
  4. Step 4: Simplify right side
    2,497.55x = 3,199,710.56
  5. Step 5: Solve for x
    x = 3,199,710.56/2,497.55
  6. Step 6: Final answer
    x = 1,281.14

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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.