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Finding the Fourth Proportional to 1,545.94, 2,133.36 and 837.76

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Solution

The fourth proportional to 1,545.94, 2,133.36 and 837.76 is: 1,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.94 : 2,133.36 = 837.76 : x
  2. Step 2: Convert to fraction form
    1,545.94/2,133.36 = 837.76/x
  3. Step 3: Cross multiply
    1,545.94x = 2,133.36 × 837.76
  4. Step 4: Simplify right side
    1,545.94x = 1,787,243.67
  5. Step 5: Solve for x
    x = 1,787,243.67/1,545.94
  6. Step 6: Final answer
    x = 1,156.09

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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.