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Finding the Fourth Proportional to 1,883.18, 2,596.23 and 1,587.93

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Solution

The fourth proportional to 1,883.18, 2,596.23 and 1,587.93 is: 2,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.18 : 2,596.23 = 1,587.93 : x
  2. Step 2: Convert to fraction form
    1,883.18/2,596.23 = 1,587.93/x
  3. Step 3: Cross multiply
    1,883.18x = 2,596.23 × 1,587.93
  4. Step 4: Simplify right side
    1,883.18x = 4,122,631.50
  5. Step 5: Solve for x
    x = 4,122,631.50/1,883.18
  6. Step 6: Final answer
    x = 2,189.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.