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Finding the Fourth Proportional to 2,565.70, 3,848.65 and 1,159.85

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Solution

The fourth proportional to 2,565.70, 3,848.65 and 1,159.85 is: 1,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.70 : 3,848.65 = 1,159.85 : x
  2. Step 2: Convert to fraction form
    2,565.70/3,848.65 = 1,159.85/x
  3. Step 3: Cross multiply
    2,565.70x = 3,848.65 × 1,159.85
  4. Step 4: Simplify right side
    2,565.70x = 4,463,852.86
  5. Step 5: Solve for x
    x = 4,463,852.86/2,565.70
  6. Step 6: Final answer
    x = 1,739.82

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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.