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Finding the Fourth Proportional to 2,148.34, 2,966.13 and 1,650.08

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Solution

The fourth proportional to 2,148.34, 2,966.13 and 1,650.08 is: 2,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.34 : 2,966.13 = 1,650.08 : x
  2. Step 2: Convert to fraction form
    2,148.34/2,966.13 = 1,650.08/x
  3. Step 3: Cross multiply
    2,148.34x = 2,966.13 × 1,650.08
  4. Step 4: Simplify right side
    2,148.34x = 4,894,359.21
  5. Step 5: Solve for x
    x = 4,894,359.21/2,148.34
  6. Step 6: Final answer
    x = 2,278.21

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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.