Home / 1,417.25-2,126.28-595.10

Finding the Fourth Proportional to 1,417.25, 2,126.28 and 595.10

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Solution

The fourth proportional to 1,417.25, 2,126.28 and 595.10 is: 892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.25 : 2,126.28 = 595.10 : x
  2. Step 2: Convert to fraction form
    1,417.25/2,126.28 = 595.10/x
  3. Step 3: Cross multiply
    1,417.25x = 2,126.28 × 595.10
  4. Step 4: Simplify right side
    1,417.25x = 1,265,356.78
  5. Step 5: Solve for x
    x = 1,265,356.78/1,417.25
  6. Step 6: Final answer
    x = 892.82

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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.