Home / 1,507.60-2,261.52-411.92

Finding the Fourth Proportional to 1,507.60, 2,261.52 and 411.92

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Solution

The fourth proportional to 1,507.60, 2,261.52 and 411.92 is: 617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.60 : 2,261.52 = 411.92 : x
  2. Step 2: Convert to fraction form
    1,507.60/2,261.52 = 411.92/x
  3. Step 3: Cross multiply
    1,507.60x = 2,261.52 × 411.92
  4. Step 4: Simplify right side
    1,507.60x = 931,565.32
  5. Step 5: Solve for x
    x = 931,565.32/1,507.60
  6. Step 6: Final answer
    x = 617.91

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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.