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Finding the Fourth Proportional to 1,729.85, 2,590.65 and 1,643.72

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Solution

The fourth proportional to 1,729.85, 2,590.65 and 1,643.72 is: 2,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.85 : 2,590.65 = 1,643.72 : x
  2. Step 2: Convert to fraction form
    1,729.85/2,590.65 = 1,643.72/x
  3. Step 3: Cross multiply
    1,729.85x = 2,590.65 × 1,643.72
  4. Step 4: Simplify right side
    1,729.85x = 4,258,290.26
  5. Step 5: Solve for x
    x = 4,258,290.26/1,729.85
  6. Step 6: Final answer
    x = 2,461.66

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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.