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Finding the Fourth Proportional to 1,597.34, 2,204.33 and 934.07

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Solution

The fourth proportional to 1,597.34, 2,204.33 and 934.07 is: 1,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.34 : 2,204.33 = 934.07 : x
  2. Step 2: Convert to fraction form
    1,597.34/2,204.33 = 934.07/x
  3. Step 3: Cross multiply
    1,597.34x = 2,204.33 × 934.07
  4. Step 4: Simplify right side
    1,597.34x = 2,058,982.83
  5. Step 5: Solve for x
    x = 2,058,982.83/1,597.34
  6. Step 6: Final answer
    x = 1,289.01

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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.