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Finding the Fourth Proportional to 3,312.66, 4,969.76 and 972.62

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Solution

The fourth proportional to 3,312.66, 4,969.76 and 972.62 is: 1,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.66 : 4,969.76 = 972.62 : x
  2. Step 2: Convert to fraction form
    3,312.66/4,969.76 = 972.62/x
  3. Step 3: Cross multiply
    3,312.66x = 4,969.76 × 972.62
  4. Step 4: Simplify right side
    3,312.66x = 4,833,658.26
  5. Step 5: Solve for x
    x = 4,833,658.26/3,312.66
  6. Step 6: Final answer
    x = 1,459.15

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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.