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Finding the Fourth Proportional to 1,545.77, 2,135.00 and 1,189.16

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Solution

The fourth proportional to 1,545.77, 2,135.00 and 1,189.16 is: 1,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.77 : 2,135.00 = 1,189.16 : x
  2. Step 2: Convert to fraction form
    1,545.77/2,135.00 = 1,189.16/x
  3. Step 3: Cross multiply
    1,545.77x = 2,135.00 × 1,189.16
  4. Step 4: Simplify right side
    1,545.77x = 2,538,864.91
  5. Step 5: Solve for x
    x = 2,538,864.91/1,545.77
  6. Step 6: Final answer
    x = 1,642.46

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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.