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Finding the Fourth Proportional to 4,502.18, 6,756.28 and 1,580.48

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Solution

The fourth proportional to 4,502.18, 6,756.28 and 1,580.48 is: 2,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.18 : 6,756.28 = 1,580.48 : x
  2. Step 2: Convert to fraction form
    4,502.18/6,756.28 = 1,580.48/x
  3. Step 3: Cross multiply
    4,502.18x = 6,756.28 × 1,580.48
  4. Step 4: Simplify right side
    4,502.18x = 10,678,153.02
  5. Step 5: Solve for x
    x = 10,678,153.02/4,502.18
  6. Step 6: Final answer
    x = 2,371.77

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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.