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Finding the Fourth Proportional to 2,468.30, 3,705.33 and 1,948.65

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Solution

The fourth proportional to 2,468.30, 3,705.33 and 1,948.65 is: 2,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.30 : 3,705.33 = 1,948.65 : x
  2. Step 2: Convert to fraction form
    2,468.30/3,705.33 = 1,948.65/x
  3. Step 3: Cross multiply
    2,468.30x = 3,705.33 × 1,948.65
  4. Step 4: Simplify right side
    2,468.30x = 7,220,384.72
  5. Step 5: Solve for x
    x = 7,220,384.72/2,468.30
  6. Step 6: Final answer
    x = 2,925.25

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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.