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Finding the Fourth Proportional to 1,773.34, 2,647.93 and 1,587.04

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Solution

The fourth proportional to 1,773.34, 2,647.93 and 1,587.04 is: 2,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.34 : 2,647.93 = 1,587.04 : x
  2. Step 2: Convert to fraction form
    1,773.34/2,647.93 = 1,587.04/x
  3. Step 3: Cross multiply
    1,773.34x = 2,647.93 × 1,587.04
  4. Step 4: Simplify right side
    1,773.34x = 4,202,370.83
  5. Step 5: Solve for x
    x = 4,202,370.83/1,773.34
  6. Step 6: Final answer
    x = 2,369.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.