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Finding the Fourth Proportional to 2,948.84, 4,070.80 and 1,872.66

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Solution

The fourth proportional to 2,948.84, 4,070.80 and 1,872.66 is: 2,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.84 : 4,070.80 = 1,872.66 : x
  2. Step 2: Convert to fraction form
    2,948.84/4,070.80 = 1,872.66/x
  3. Step 3: Cross multiply
    2,948.84x = 4,070.80 × 1,872.66
  4. Step 4: Simplify right side
    2,948.84x = 7,623,224.33
  5. Step 5: Solve for x
    x = 7,623,224.33/2,948.84
  6. Step 6: Final answer
    x = 2,585.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.