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Finding the Fourth Proportional to 1,730.24, 2,595.80 and 497.73

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Solution

The fourth proportional to 1,730.24, 2,595.80 and 497.73 is: 746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.24 : 2,595.80 = 497.73 : x
  2. Step 2: Convert to fraction form
    1,730.24/2,595.80 = 497.73/x
  3. Step 3: Cross multiply
    1,730.24x = 2,595.80 × 497.73
  4. Step 4: Simplify right side
    1,730.24x = 1,292,007.53
  5. Step 5: Solve for x
    x = 1,292,007.53/1,730.24
  6. Step 6: Final answer
    x = 746.72

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