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Finding the Fourth Proportional to 1,655.56, 2,283.06 and 1,376.20

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Solution

The fourth proportional to 1,655.56, 2,283.06 and 1,376.20 is: 1,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.56 : 2,283.06 = 1,376.20 : x
  2. Step 2: Convert to fraction form
    1,655.56/2,283.06 = 1,376.20/x
  3. Step 3: Cross multiply
    1,655.56x = 2,283.06 × 1,376.20
  4. Step 4: Simplify right side
    1,655.56x = 3,141,947.17
  5. Step 5: Solve for x
    x = 3,141,947.17/1,655.56
  6. Step 6: Final answer
    x = 1,897.82

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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.