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Finding the Fourth Proportional to 3,145.29, 4,340.16 and 1,886.30

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Solution

The fourth proportional to 3,145.29, 4,340.16 and 1,886.30 is: 2,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.29 : 4,340.16 = 1,886.30 : x
  2. Step 2: Convert to fraction form
    3,145.29/4,340.16 = 1,886.30/x
  3. Step 3: Cross multiply
    3,145.29x = 4,340.16 × 1,886.30
  4. Step 4: Simplify right side
    3,145.29x = 8,186,822.11
  5. Step 5: Solve for x
    x = 8,186,822.11/3,145.29
  6. Step 6: Final answer
    x = 2,602.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.