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Finding the Fourth Proportional to 2,470.40, 3,709.20 and 1,858.40

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Solution

The fourth proportional to 2,470.40, 3,709.20 and 1,858.40 is: 2,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.40 : 3,709.20 = 1,858.40 : x
  2. Step 2: Convert to fraction form
    2,470.40/3,709.20 = 1,858.40/x
  3. Step 3: Cross multiply
    2,470.40x = 3,709.20 × 1,858.40
  4. Step 4: Simplify right side
    2,470.40x = 6,893,177.28
  5. Step 5: Solve for x
    x = 6,893,177.28/2,470.40
  6. Step 6: Final answer
    x = 2,790.31

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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.