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Finding the Fourth Proportional to 3,312.39, 4,969.26 and 972.45

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Solution

The fourth proportional to 3,312.39, 4,969.26 and 972.45 is: 1,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.39 : 4,969.26 = 972.45 : x
  2. Step 2: Convert to fraction form
    3,312.39/4,969.26 = 972.45/x
  3. Step 3: Cross multiply
    3,312.39x = 4,969.26 × 972.45
  4. Step 4: Simplify right side
    3,312.39x = 4,832,356.89
  5. Step 5: Solve for x
    x = 4,832,356.89/3,312.39
  6. Step 6: Final answer
    x = 1,458.87

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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.