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Finding the Fourth Proportional to 2,978.40, 4,110.24 and 1,652.16

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Solution

The fourth proportional to 2,978.40, 4,110.24 and 1,652.16 is: 2,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.40 : 4,110.24 = 1,652.16 : x
  2. Step 2: Convert to fraction form
    2,978.40/4,110.24 = 1,652.16/x
  3. Step 3: Cross multiply
    2,978.40x = 4,110.24 × 1,652.16
  4. Step 4: Simplify right side
    2,978.40x = 6,790,774.12
  5. Step 5: Solve for x
    x = 6,790,774.12/2,978.40
  6. Step 6: Final answer
    x = 2,280.01

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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.