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Finding the Fourth Proportional to 1,859.14, 2,565.61 and 1,150.84

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Solution

The fourth proportional to 1,859.14, 2,565.61 and 1,150.84 is: 1,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.14 : 2,565.61 = 1,150.84 : x
  2. Step 2: Convert to fraction form
    1,859.14/2,565.61 = 1,150.84/x
  3. Step 3: Cross multiply
    1,859.14x = 2,565.61 × 1,150.84
  4. Step 4: Simplify right side
    1,859.14x = 2,952,616.11
  5. Step 5: Solve for x
    x = 2,952,616.11/1,859.14
  6. Step 6: Final answer
    x = 1,588.16

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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.