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Finding the Fourth Proportional to 1,699.57, 2,345.31 and 991.53

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Solution

The fourth proportional to 1,699.57, 2,345.31 and 991.53 is: 1,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.57 : 2,345.31 = 991.53 : x
  2. Step 2: Convert to fraction form
    1,699.57/2,345.31 = 991.53/x
  3. Step 3: Cross multiply
    1,699.57x = 2,345.31 × 991.53
  4. Step 4: Simplify right side
    1,699.57x = 2,325,445.22
  5. Step 5: Solve for x
    x = 2,325,445.22/1,699.57
  6. Step 6: Final answer
    x = 1,368.26

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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.