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Finding the Fourth Proportional to 1,527.39, 2,291.09 and 373.14

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Solution

The fourth proportional to 1,527.39, 2,291.09 and 373.14 is: 559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.39 : 2,291.09 = 373.14 : x
  2. Step 2: Convert to fraction form
    1,527.39/2,291.09 = 373.14/x
  3. Step 3: Cross multiply
    1,527.39x = 2,291.09 × 373.14
  4. Step 4: Simplify right side
    1,527.39x = 854,897.32
  5. Step 5: Solve for x
    x = 854,897.32/1,527.39
  6. Step 6: Final answer
    x = 559.71

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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.