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Finding the Fourth Proportional to 1,370.87, 1,891.23 and 898.88

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Solution

The fourth proportional to 1,370.87, 1,891.23 and 898.88 is: 1,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.87 : 1,891.23 = 898.88 : x
  2. Step 2: Convert to fraction form
    1,370.87/1,891.23 = 898.88/x
  3. Step 3: Cross multiply
    1,370.87x = 1,891.23 × 898.88
  4. Step 4: Simplify right side
    1,370.87x = 1,699,988.82
  5. Step 5: Solve for x
    x = 1,699,988.82/1,370.87
  6. Step 6: Final answer
    x = 1,240.08

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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.