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Finding the Fourth Proportional to 1,699.72, 2,345.30 and 1,141.00

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Solution

The fourth proportional to 1,699.72, 2,345.30 and 1,141.00 is: 1,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.72 : 2,345.30 = 1,141.00 : x
  2. Step 2: Convert to fraction form
    1,699.72/2,345.30 = 1,141.00/x
  3. Step 3: Cross multiply
    1,699.72x = 2,345.30 × 1,141.00
  4. Step 4: Simplify right side
    1,699.72x = 2,675,969.87
  5. Step 5: Solve for x
    x = 2,675,969.87/1,699.72
  6. Step 6: Final answer
    x = 1,574.36

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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.