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Finding the Fourth Proportional to 3,152.98, 4,732.63 and 1,305.18

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Solution

The fourth proportional to 3,152.98, 4,732.63 and 1,305.18 is: 1,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.98 : 4,732.63 = 1,305.18 : x
  2. Step 2: Convert to fraction form
    3,152.98/4,732.63 = 1,305.18/x
  3. Step 3: Cross multiply
    3,152.98x = 4,732.63 × 1,305.18
  4. Step 4: Simplify right side
    3,152.98x = 6,176,934.02
  5. Step 5: Solve for x
    x = 6,176,934.02/3,152.98
  6. Step 6: Final answer
    x = 1,959.08

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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.