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Finding the Fourth Proportional to 1,699.50, 2,345.32 and 991.83

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Solution

The fourth proportional to 1,699.50, 2,345.32 and 991.83 is: 1,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.50 : 2,345.32 = 991.83 : x
  2. Step 2: Convert to fraction form
    1,699.50/2,345.32 = 991.83/x
  3. Step 3: Cross multiply
    1,699.50x = 2,345.32 × 991.83
  4. Step 4: Simplify right side
    1,699.50x = 2,326,156.26
  5. Step 5: Solve for x
    x = 2,326,156.26/1,699.50
  6. Step 6: Final answer
    x = 1,368.73

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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.