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Finding the Fourth Proportional to 2,948.42, 4,068.27 and 1,753.80

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Solution

The fourth proportional to 2,948.42, 4,068.27 and 1,753.80 is: 2,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.42 : 4,068.27 = 1,753.80 : x
  2. Step 2: Convert to fraction form
    2,948.42/4,068.27 = 1,753.80/x
  3. Step 3: Cross multiply
    2,948.42x = 4,068.27 × 1,753.80
  4. Step 4: Simplify right side
    2,948.42x = 7,134,931.93
  5. Step 5: Solve for x
    x = 7,134,931.93/2,948.42
  6. Step 6: Final answer
    x = 2,419.92

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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.