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Finding the Fourth Proportional to 2,470.18, 3,701.06 and 2,158.60

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Solution

The fourth proportional to 2,470.18, 3,701.06 and 2,158.60 is: 3,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.18 : 3,701.06 = 2,158.60 : x
  2. Step 2: Convert to fraction form
    2,470.18/3,701.06 = 2,158.60/x
  3. Step 3: Cross multiply
    2,470.18x = 3,701.06 × 2,158.60
  4. Step 4: Simplify right side
    2,470.18x = 7,989,108.12
  5. Step 5: Solve for x
    x = 7,989,108.12/2,470.18
  6. Step 6: Final answer
    x = 3,234.22

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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.