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Finding the Fourth Proportional to 1,506.50, 2,079.53 and 1,134.56

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Solution

The fourth proportional to 1,506.50, 2,079.53 and 1,134.56 is: 1,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.50 : 2,079.53 = 1,134.56 : x
  2. Step 2: Convert to fraction form
    1,506.50/2,079.53 = 1,134.56/x
  3. Step 3: Cross multiply
    1,506.50x = 2,079.53 × 1,134.56
  4. Step 4: Simplify right side
    1,506.50x = 2,359,351.56
  5. Step 5: Solve for x
    x = 2,359,351.56/1,506.50
  6. Step 6: Final answer
    x = 1,566.11

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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.