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Finding the Fourth Proportional to 1,597.90, 2,205.16 and 934.78

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Solution

The fourth proportional to 1,597.90, 2,205.16 and 934.78 is: 1,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.90 : 2,205.16 = 934.78 : x
  2. Step 2: Convert to fraction form
    1,597.90/2,205.16 = 934.78/x
  3. Step 3: Cross multiply
    1,597.90x = 2,205.16 × 934.78
  4. Step 4: Simplify right side
    1,597.90x = 2,061,339.46
  5. Step 5: Solve for x
    x = 2,061,339.46/1,597.90
  6. Step 6: Final answer
    x = 1,290.03

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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.