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Finding the Fourth Proportional to 1,875.49, 2,588.43 and 1,278.85

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Solution

The fourth proportional to 1,875.49, 2,588.43 and 1,278.85 is: 1,764.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.49 : 2,588.43 = 1,278.85 : x
  2. Step 2: Convert to fraction form
    1,875.49/2,588.43 = 1,278.85/x
  3. Step 3: Cross multiply
    1,875.49x = 2,588.43 × 1,278.85
  4. Step 4: Simplify right side
    1,875.49x = 3,310,213.71
  5. Step 5: Solve for x
    x = 3,310,213.71/1,875.49
  6. Step 6: Final answer
    x = 1,764.99

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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.