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Finding the Fourth Proportional to 1,697.18, 2,544.26 and 875.93

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Solution

The fourth proportional to 1,697.18, 2,544.26 and 875.93 is: 1,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.18 : 2,544.26 = 875.93 : x
  2. Step 2: Convert to fraction form
    1,697.18/2,544.26 = 875.93/x
  3. Step 3: Cross multiply
    1,697.18x = 2,544.26 × 875.93
  4. Step 4: Simplify right side
    1,697.18x = 2,228,593.66
  5. Step 5: Solve for x
    x = 2,228,593.66/1,697.18
  6. Step 6: Final answer
    x = 1,313.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.