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Finding the Fourth Proportional to 1,883.86, 2,600.10 and 1,699.18

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Solution

The fourth proportional to 1,883.86, 2,600.10 and 1,699.18 is: 2,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.86 : 2,600.10 = 1,699.18 : x
  2. Step 2: Convert to fraction form
    1,883.86/2,600.10 = 1,699.18/x
  3. Step 3: Cross multiply
    1,883.86x = 2,600.10 × 1,699.18
  4. Step 4: Simplify right side
    1,883.86x = 4,418,031.42
  5. Step 5: Solve for x
    x = 4,418,031.42/1,883.86
  6. Step 6: Final answer
    x = 2,345.20

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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.