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Finding the Fourth Proportional to 1,948.32, 2,687.04 and 1,598.40

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Solution

The fourth proportional to 1,948.32, 2,687.04 and 1,598.40 is: 2,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.32 : 2,687.04 = 1,598.40 : x
  2. Step 2: Convert to fraction form
    1,948.32/2,687.04 = 1,598.40/x
  3. Step 3: Cross multiply
    1,948.32x = 2,687.04 × 1,598.40
  4. Step 4: Simplify right side
    1,948.32x = 4,294,964.74
  5. Step 5: Solve for x
    x = 4,294,964.74/1,948.32
  6. Step 6: Final answer
    x = 2,204.45

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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.