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Finding the Fourth Proportional to 1,474.95, 2,030.04 and 1,294.50

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Solution

The fourth proportional to 1,474.95, 2,030.04 and 1,294.50 is: 1,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.95 : 2,030.04 = 1,294.50 : x
  2. Step 2: Convert to fraction form
    1,474.95/2,030.04 = 1,294.50/x
  3. Step 3: Cross multiply
    1,474.95x = 2,030.04 × 1,294.50
  4. Step 4: Simplify right side
    1,474.95x = 2,627,886.78
  5. Step 5: Solve for x
    x = 2,627,886.78/1,474.95
  6. Step 6: Final answer
    x = 1,781.68

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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.