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Finding the Fourth Proportional to 2,302.71, 3,454.60 and 916.12

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Solution

The fourth proportional to 2,302.71, 3,454.60 and 916.12 is: 1,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.71 : 3,454.60 = 916.12 : x
  2. Step 2: Convert to fraction form
    2,302.71/3,454.60 = 916.12/x
  3. Step 3: Cross multiply
    2,302.71x = 3,454.60 × 916.12
  4. Step 4: Simplify right side
    2,302.71x = 3,164,831.90
  5. Step 5: Solve for x
    x = 3,164,831.90/2,302.71
  6. Step 6: Final answer
    x = 1,374.40

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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.