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Finding the Fourth Proportional to 1,387.59, 1,913.15 and 889.41

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Solution

The fourth proportional to 1,387.59, 1,913.15 and 889.41 is: 1,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.59 : 1,913.15 = 889.41 : x
  2. Step 2: Convert to fraction form
    1,387.59/1,913.15 = 889.41/x
  3. Step 3: Cross multiply
    1,387.59x = 1,913.15 × 889.41
  4. Step 4: Simplify right side
    1,387.59x = 1,701,570.29
  5. Step 5: Solve for x
    x = 1,701,570.29/1,387.59
  6. Step 6: Final answer
    x = 1,226.28

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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.