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Finding the Fourth Proportional to 2,655.80, 3,664.89 and 1,476.95

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Solution

The fourth proportional to 2,655.80, 3,664.89 and 1,476.95 is: 2,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.80 : 3,664.89 = 1,476.95 : x
  2. Step 2: Convert to fraction form
    2,655.80/3,664.89 = 1,476.95/x
  3. Step 3: Cross multiply
    2,655.80x = 3,664.89 × 1,476.95
  4. Step 4: Simplify right side
    2,655.80x = 5,412,859.29
  5. Step 5: Solve for x
    x = 5,412,859.29/2,655.80
  6. Step 6: Final answer
    x = 2,038.13

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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.