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Finding the Fourth Proportional to 3,130.95, 4,693.59 and 1,182.63

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Solution

The fourth proportional to 3,130.95, 4,693.59 and 1,182.63 is: 1,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.95 : 4,693.59 = 1,182.63 : x
  2. Step 2: Convert to fraction form
    3,130.95/4,693.59 = 1,182.63/x
  3. Step 3: Cross multiply
    3,130.95x = 4,693.59 × 1,182.63
  4. Step 4: Simplify right side
    3,130.95x = 5,550,780.34
  5. Step 5: Solve for x
    x = 5,550,780.34/3,130.95
  6. Step 6: Final answer
    x = 1,772.87

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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.