Home / 1,712.76-2,569.14-414.23

Finding the Fourth Proportional to 1,712.76, 2,569.14 and 414.23

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Solution

The fourth proportional to 1,712.76, 2,569.14 and 414.23 is: 621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.76 : 2,569.14 = 414.23 : x
  2. Step 2: Convert to fraction form
    1,712.76/2,569.14 = 414.23/x
  3. Step 3: Cross multiply
    1,712.76x = 2,569.14 × 414.23
  4. Step 4: Simplify right side
    1,712.76x = 1,064,214.86
  5. Step 5: Solve for x
    x = 1,064,214.86/1,712.76
  6. Step 6: Final answer
    x = 621.35

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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.