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Finding the Fourth Proportional to 1,398.36, 1,930.53 and 1,256.51

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Solution

The fourth proportional to 1,398.36, 1,930.53 and 1,256.51 is: 1,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.36 : 1,930.53 = 1,256.51 : x
  2. Step 2: Convert to fraction form
    1,398.36/1,930.53 = 1,256.51/x
  3. Step 3: Cross multiply
    1,398.36x = 1,930.53 × 1,256.51
  4. Step 4: Simplify right side
    1,398.36x = 2,425,739.79
  5. Step 5: Solve for x
    x = 2,425,739.79/1,398.36
  6. Step 6: Final answer
    x = 1,734.70

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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.