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Finding the Fourth Proportional to 3,312.66, 4,970.27 and 1,462.47

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Solution

The fourth proportional to 3,312.66, 4,970.27 and 1,462.47 is: 2,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.66 : 4,970.27 = 1,462.47 : x
  2. Step 2: Convert to fraction form
    3,312.66/4,970.27 = 1,462.47/x
  3. Step 3: Cross multiply
    3,312.66x = 4,970.27 × 1,462.47
  4. Step 4: Simplify right side
    3,312.66x = 7,268,838.60
  5. Step 5: Solve for x
    x = 7,268,838.60/3,312.66
  6. Step 6: Final answer
    x = 2,194.26

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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.