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Finding the Fourth Proportional to 1,597.41, 2,394.29 and 671.58

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Solution

The fourth proportional to 1,597.41, 2,394.29 and 671.58 is: 1,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.41 : 2,394.29 = 671.58 : x
  2. Step 2: Convert to fraction form
    1,597.41/2,394.29 = 671.58/x
  3. Step 3: Cross multiply
    1,597.41x = 2,394.29 × 671.58
  4. Step 4: Simplify right side
    1,597.41x = 1,607,953.92
  5. Step 5: Solve for x
    x = 1,607,953.92/1,597.41
  6. Step 6: Final answer
    x = 1,006.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.