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Finding the Fourth Proportional to 1,565.05, 2,159.50 and 935.83

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Solution

The fourth proportional to 1,565.05, 2,159.50 and 935.83 is: 1,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.05 : 2,159.50 = 935.83 : x
  2. Step 2: Convert to fraction form
    1,565.05/2,159.50 = 935.83/x
  3. Step 3: Cross multiply
    1,565.05x = 2,159.50 × 935.83
  4. Step 4: Simplify right side
    1,565.05x = 2,020,924.89
  5. Step 5: Solve for x
    x = 2,020,924.89/1,565.05
  6. Step 6: Final answer
    x = 1,291.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.