Home / 1,416.89-2,126.28-686.52

Finding the Fourth Proportional to 1,416.89, 2,126.28 and 686.52

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Solution

The fourth proportional to 1,416.89, 2,126.28 and 686.52 is: 1,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.89 : 2,126.28 = 686.52 : x
  2. Step 2: Convert to fraction form
    1,416.89/2,126.28 = 686.52/x
  3. Step 3: Cross multiply
    1,416.89x = 2,126.28 × 686.52
  4. Step 4: Simplify right side
    1,416.89x = 1,459,733.75
  5. Step 5: Solve for x
    x = 1,459,733.75/1,416.89
  6. Step 6: Final answer
    x = 1,030.24

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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.