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Finding the Fourth Proportional to 2,384.70, 3,291.60 and 1,545.45

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Solution

The fourth proportional to 2,384.70, 3,291.60 and 1,545.45 is: 2,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.70 : 3,291.60 = 1,545.45 : x
  2. Step 2: Convert to fraction form
    2,384.70/3,291.60 = 1,545.45/x
  3. Step 3: Cross multiply
    2,384.70x = 3,291.60 × 1,545.45
  4. Step 4: Simplify right side
    2,384.70x = 5,087,003.22
  5. Step 5: Solve for x
    x = 5,087,003.22/2,384.70
  6. Step 6: Final answer
    x = 2,133.18

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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.