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Finding the Fourth Proportional to 1,526.87, 2,291.24 and 602.27

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Solution

The fourth proportional to 1,526.87, 2,291.24 and 602.27 is: 903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.87 : 2,291.24 = 602.27 : x
  2. Step 2: Convert to fraction form
    1,526.87/2,291.24 = 602.27/x
  3. Step 3: Cross multiply
    1,526.87x = 2,291.24 × 602.27
  4. Step 4: Simplify right side
    1,526.87x = 1,379,945.11
  5. Step 5: Solve for x
    x = 1,379,945.11/1,526.87
  6. Step 6: Final answer
    x = 903.77

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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.