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Finding the Fourth Proportional to 1,730.02, 2,595.16 and 497.42

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Solution

The fourth proportional to 1,730.02, 2,595.16 and 497.42 is: 746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.02 : 2,595.16 = 497.42 : x
  2. Step 2: Convert to fraction form
    1,730.02/2,595.16 = 497.42/x
  3. Step 3: Cross multiply
    1,730.02x = 2,595.16 × 497.42
  4. Step 4: Simplify right side
    1,730.02x = 1,290,884.49
  5. Step 5: Solve for x
    x = 1,290,884.49/1,730.02
  6. Step 6: Final answer
    x = 746.17

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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.