Home / 1,565.28-2,345.76-1,257.84

Finding the Fourth Proportional to 1,565.28, 2,345.76 and 1,257.84

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Solution

The fourth proportional to 1,565.28, 2,345.76 and 1,257.84 is: 1,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.28 : 2,345.76 = 1,257.84 : x
  2. Step 2: Convert to fraction form
    1,565.28/2,345.76 = 1,257.84/x
  3. Step 3: Cross multiply
    1,565.28x = 2,345.76 × 1,257.84
  4. Step 4: Simplify right side
    1,565.28x = 2,950,590.76
  5. Step 5: Solve for x
    x = 2,950,590.76/1,565.28
  6. Step 6: Final answer
    x = 1,885.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.