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Finding the Fourth Proportional to 2,978.47, 4,110.45 and 1,652.18

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Solution

The fourth proportional to 2,978.47, 4,110.45 and 1,652.18 is: 2,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.47 : 4,110.45 = 1,652.18 : x
  2. Step 2: Convert to fraction form
    2,978.47/4,110.45 = 1,652.18/x
  3. Step 3: Cross multiply
    2,978.47x = 4,110.45 × 1,652.18
  4. Step 4: Simplify right side
    2,978.47x = 6,791,199.65
  5. Step 5: Solve for x
    x = 6,791,199.65/2,978.47
  6. Step 6: Final answer
    x = 2,280.10

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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.