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Finding the Fourth Proportional to 1,398.75, 2,085.77 and 1,298.31

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Solution

The fourth proportional to 1,398.75, 2,085.77 and 1,298.31 is: 1,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.75 : 2,085.77 = 1,298.31 : x
  2. Step 2: Convert to fraction form
    1,398.75/2,085.77 = 1,298.31/x
  3. Step 3: Cross multiply
    1,398.75x = 2,085.77 × 1,298.31
  4. Step 4: Simplify right side
    1,398.75x = 2,707,969.56
  5. Step 5: Solve for x
    x = 2,707,969.56/1,398.75
  6. Step 6: Final answer
    x = 1,935.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.