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Finding the Fourth Proportional to 2,838.08, 4,258.48 and 1,470.08

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Solution

The fourth proportional to 2,838.08, 4,258.48 and 1,470.08 is: 2,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.08 : 4,258.48 = 1,470.08 : x
  2. Step 2: Convert to fraction form
    2,838.08/4,258.48 = 1,470.08/x
  3. Step 3: Cross multiply
    2,838.08x = 4,258.48 × 1,470.08
  4. Step 4: Simplify right side
    2,838.08x = 6,260,306.28
  5. Step 5: Solve for x
    x = 6,260,306.28/2,838.08
  6. Step 6: Final answer
    x = 2,205.82

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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.