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Finding the Fourth Proportional to 2,470.10, 3,705.06 and 621.23

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Solution

The fourth proportional to 2,470.10, 3,705.06 and 621.23 is: 931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.10 : 3,705.06 = 621.23 : x
  2. Step 2: Convert to fraction form
    2,470.10/3,705.06 = 621.23/x
  3. Step 3: Cross multiply
    2,470.10x = 3,705.06 × 621.23
  4. Step 4: Simplify right side
    2,470.10x = 2,301,694.42
  5. Step 5: Solve for x
    x = 2,301,694.42/2,470.10
  6. Step 6: Final answer
    x = 931.82

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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.