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Finding the Fourth Proportional to 1,699.88, 2,345.24 and 1,110.20

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Solution

The fourth proportional to 1,699.88, 2,345.24 and 1,110.20 is: 1,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.88 : 2,345.24 = 1,110.20 : x
  2. Step 2: Convert to fraction form
    1,699.88/2,345.24 = 1,110.20/x
  3. Step 3: Cross multiply
    1,699.88x = 2,345.24 × 1,110.20
  4. Step 4: Simplify right side
    1,699.88x = 2,603,679.90
  5. Step 5: Solve for x
    x = 2,603,679.90/1,699.88
  6. Step 6: Final answer
    x = 1,531.68

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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.