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Finding the Fourth Proportional to 1,655.70, 2,281.57 and 1,182.26

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Solution

The fourth proportional to 1,655.70, 2,281.57 and 1,182.26 is: 1,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.70 : 2,281.57 = 1,182.26 : x
  2. Step 2: Convert to fraction form
    1,655.70/2,281.57 = 1,182.26/x
  3. Step 3: Cross multiply
    1,655.70x = 2,281.57 × 1,182.26
  4. Step 4: Simplify right side
    1,655.70x = 2,697,408.95
  5. Step 5: Solve for x
    x = 2,697,408.95/1,655.70
  6. Step 6: Final answer
    x = 1,629.17

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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.