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Finding the Fourth Proportional to 1,529.83, 2,295.52 and 749.81

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Solution

The fourth proportional to 1,529.83, 2,295.52 and 749.81 is: 1,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.83 : 2,295.52 = 749.81 : x
  2. Step 2: Convert to fraction form
    1,529.83/2,295.52 = 749.81/x
  3. Step 3: Cross multiply
    1,529.83x = 2,295.52 × 749.81
  4. Step 4: Simplify right side
    1,529.83x = 1,721,211.93
  5. Step 5: Solve for x
    x = 1,721,211.93/1,529.83
  6. Step 6: Final answer
    x = 1,125.10

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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.