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Finding the Fourth Proportional to 2,534.79, 3,802.95 and 974.94

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Solution

The fourth proportional to 2,534.79, 3,802.95 and 974.94 is: 1,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.79 : 3,802.95 = 974.94 : x
  2. Step 2: Convert to fraction form
    2,534.79/3,802.95 = 974.94/x
  3. Step 3: Cross multiply
    2,534.79x = 3,802.95 × 974.94
  4. Step 4: Simplify right side
    2,534.79x = 3,707,633.81
  5. Step 5: Solve for x
    x = 3,707,633.81/2,534.79
  6. Step 6: Final answer
    x = 1,462.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.