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Finding the Fourth Proportional to 2,470.32, 3,707.01 and 2,239.64

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Solution

The fourth proportional to 2,470.32, 3,707.01 and 2,239.64 is: 3,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.32 : 3,707.01 = 2,239.64 : x
  2. Step 2: Convert to fraction form
    2,470.32/3,707.01 = 2,239.64/x
  3. Step 3: Cross multiply
    2,470.32x = 3,707.01 × 2,239.64
  4. Step 4: Simplify right side
    2,470.32x = 8,302,349.34
  5. Step 5: Solve for x
    x = 8,302,349.34/2,470.32
  6. Step 6: Final answer
    x = 3,360.84

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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.