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Finding the Fourth Proportional to 1,370.61, 1,892.82 and 873.47

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Solution

The fourth proportional to 1,370.61, 1,892.82 and 873.47 is: 1,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.61 : 1,892.82 = 873.47 : x
  2. Step 2: Convert to fraction form
    1,370.61/1,892.82 = 873.47/x
  3. Step 3: Cross multiply
    1,370.61x = 1,892.82 × 873.47
  4. Step 4: Simplify right side
    1,370.61x = 1,653,312.02
  5. Step 5: Solve for x
    x = 1,653,312.02/1,370.61
  6. Step 6: Final answer
    x = 1,206.26

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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.