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Finding the Fourth Proportional to 1,370.61, 1,888.53 and 927.75

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Solution

The fourth proportional to 1,370.61, 1,888.53 and 927.75 is: 1,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.61 : 1,888.53 = 927.75 : x
  2. Step 2: Convert to fraction form
    1,370.61/1,888.53 = 927.75/x
  3. Step 3: Cross multiply
    1,370.61x = 1,888.53 × 927.75
  4. Step 4: Simplify right side
    1,370.61x = 1,752,083.71
  5. Step 5: Solve for x
    x = 1,752,083.71/1,370.61
  6. Step 6: Final answer
    x = 1,278.32

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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.