Home / 1,614.89-2,228.57-916.13

Finding the Fourth Proportional to 1,614.89, 2,228.57 and 916.13

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Solution

The fourth proportional to 1,614.89, 2,228.57 and 916.13 is: 1,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.89 : 2,228.57 = 916.13 : x
  2. Step 2: Convert to fraction form
    1,614.89/2,228.57 = 916.13/x
  3. Step 3: Cross multiply
    1,614.89x = 2,228.57 × 916.13
  4. Step 4: Simplify right side
    1,614.89x = 2,041,644.11
  5. Step 5: Solve for x
    x = 2,041,644.11/1,614.89
  6. Step 6: Final answer
    x = 1,264.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.