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Finding the Fourth Proportional to 2,898.12, 4,343.58 and 1,648.65

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Solution

The fourth proportional to 2,898.12, 4,343.58 and 1,648.65 is: 2,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.12 : 4,343.58 = 1,648.65 : x
  2. Step 2: Convert to fraction form
    2,898.12/4,343.58 = 1,648.65/x
  3. Step 3: Cross multiply
    2,898.12x = 4,343.58 × 1,648.65
  4. Step 4: Simplify right side
    2,898.12x = 7,161,043.17
  5. Step 5: Solve for x
    x = 7,161,043.17/2,898.12
  6. Step 6: Final answer
    x = 2,470.93

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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.