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Finding the Fourth Proportional to 1,780.51, 2,456.57 and 1,034.32

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Solution

The fourth proportional to 1,780.51, 2,456.57 and 1,034.32 is: 1,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.51 : 2,456.57 = 1,034.32 : x
  2. Step 2: Convert to fraction form
    1,780.51/2,456.57 = 1,034.32/x
  3. Step 3: Cross multiply
    1,780.51x = 2,456.57 × 1,034.32
  4. Step 4: Simplify right side
    1,780.51x = 2,540,868.17
  5. Step 5: Solve for x
    x = 2,540,868.17/1,780.51
  6. Step 6: Final answer
    x = 1,427.05

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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.