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Finding the Fourth Proportional to 2,478.48, 3,710.16 and 2,128.56

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Solution

The fourth proportional to 2,478.48, 3,710.16 and 2,128.56 is: 3,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.48 : 3,710.16 = 2,128.56 : x
  2. Step 2: Convert to fraction form
    2,478.48/3,710.16 = 2,128.56/x
  3. Step 3: Cross multiply
    2,478.48x = 3,710.16 × 2,128.56
  4. Step 4: Simplify right side
    2,478.48x = 7,897,298.17
  5. Step 5: Solve for x
    x = 7,897,298.17/2,478.48
  6. Step 6: Final answer
    x = 3,186.35

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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.