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Finding the Fourth Proportional to 2,596.98, 3,582.66 and 1,887

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Solution

The fourth proportional to 2,596.98, 3,582.66 and 1,887 is: 2,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.98 : 3,582.66 = 1,887 : x
  2. Step 2: Convert to fraction form
    2,596.98/3,582.66 = 1,887/x
  3. Step 3: Cross multiply
    2,596.98x = 3,582.66 × 1,887
  4. Step 4: Simplify right side
    2,596.98x = 6,760,479.42
  5. Step 5: Solve for x
    x = 6,760,479.42/2,596.98
  6. Step 6: Final answer
    x = 2,603.21

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Why These Related Problems?

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