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Finding the Fourth Proportional to 2,534.41, 3,802.08 and 974.35

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Solution

The fourth proportional to 2,534.41, 3,802.08 and 974.35 is: 1,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.41 : 3,802.08 = 974.35 : x
  2. Step 2: Convert to fraction form
    2,534.41/3,802.08 = 974.35/x
  3. Step 3: Cross multiply
    2,534.41x = 3,802.08 × 974.35
  4. Step 4: Simplify right side
    2,534.41x = 3,704,537.64
  5. Step 5: Solve for x
    x = 3,704,537.64/2,534.41
  6. Step 6: Final answer
    x = 1,461.70

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Why These Related Problems?

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