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Finding the Fourth Proportional to 1,728.10, 2,590.89 and 999.10

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Solution

The fourth proportional to 1,728.10, 2,590.89 and 999.10 is: 1,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.10 : 2,590.89 = 999.10 : x
  2. Step 2: Convert to fraction form
    1,728.10/2,590.89 = 999.10/x
  3. Step 3: Cross multiply
    1,728.10x = 2,590.89 × 999.10
  4. Step 4: Simplify right side
    1,728.10x = 2,588,558.20
  5. Step 5: Solve for x
    x = 2,588,558.20/1,728.10
  6. Step 6: Final answer
    x = 1,497.92

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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.