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Finding the Fourth Proportional to 1,597.19, 2,204.42 and 1,007.30

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Solution

The fourth proportional to 1,597.19, 2,204.42 and 1,007.30 is: 1,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.19 : 2,204.42 = 1,007.30 : x
  2. Step 2: Convert to fraction form
    1,597.19/2,204.42 = 1,007.30/x
  3. Step 3: Cross multiply
    1,597.19x = 2,204.42 × 1,007.30
  4. Step 4: Simplify right side
    1,597.19x = 2,220,512.74
  5. Step 5: Solve for x
    x = 2,220,512.74/1,597.19
  6. Step 6: Final answer
    x = 1,390.27

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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.