Home / 1,741.60-2,612.40-508.96

Finding the Fourth Proportional to 1,741.60, 2,612.40 and 508.96

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Solution

The fourth proportional to 1,741.60, 2,612.40 and 508.96 is: 763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.60 : 2,612.40 = 508.96 : x
  2. Step 2: Convert to fraction form
    1,741.60/2,612.40 = 508.96/x
  3. Step 3: Cross multiply
    1,741.60x = 2,612.40 × 508.96
  4. Step 4: Simplify right side
    1,741.60x = 1,329,607.10
  5. Step 5: Solve for x
    x = 1,329,607.10/1,741.60
  6. Step 6: Final answer
    x = 763.44

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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.