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Finding the Fourth Proportional to 2,470.64, 3,701.09 and 2,008.94

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Solution

The fourth proportional to 2,470.64, 3,701.09 and 2,008.94 is: 3,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.64 : 3,701.09 = 2,008.94 : x
  2. Step 2: Convert to fraction form
    2,470.64/3,701.09 = 2,008.94/x
  3. Step 3: Cross multiply
    2,470.64x = 3,701.09 × 2,008.94
  4. Step 4: Simplify right side
    2,470.64x = 7,435,267.74
  5. Step 5: Solve for x
    x = 7,435,267.74/2,470.64
  6. Step 6: Final answer
    x = 3,009.45

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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.