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Finding the Fourth Proportional to 1,849.17, 2,772.69 and 875.27

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Solution

The fourth proportional to 1,849.17, 2,772.69 and 875.27 is: 1,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.17 : 2,772.69 = 875.27 : x
  2. Step 2: Convert to fraction form
    1,849.17/2,772.69 = 875.27/x
  3. Step 3: Cross multiply
    1,849.17x = 2,772.69 × 875.27
  4. Step 4: Simplify right side
    1,849.17x = 2,426,852.38
  5. Step 5: Solve for x
    x = 2,426,852.38/1,849.17
  6. Step 6: Final answer
    x = 1,312.40

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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.