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Finding the Fourth Proportional to 1,530.35, 2,295.18 and 749.57

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Solution

The fourth proportional to 1,530.35, 2,295.18 and 749.57 is: 1,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.35 : 2,295.18 = 749.57 : x
  2. Step 2: Convert to fraction form
    1,530.35/2,295.18 = 749.57/x
  3. Step 3: Cross multiply
    1,530.35x = 2,295.18 × 749.57
  4. Step 4: Simplify right side
    1,530.35x = 1,720,403.81
  5. Step 5: Solve for x
    x = 1,720,403.81/1,530.35
  6. Step 6: Final answer
    x = 1,124.19

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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.