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Finding the Fourth Proportional to 1,357.36, 1,868.88 and 1,197.66

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Solution

The fourth proportional to 1,357.36, 1,868.88 and 1,197.66 is: 1,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.36 : 1,868.88 = 1,197.66 : x
  2. Step 2: Convert to fraction form
    1,357.36/1,868.88 = 1,197.66/x
  3. Step 3: Cross multiply
    1,357.36x = 1,868.88 × 1,197.66
  4. Step 4: Simplify right side
    1,357.36x = 2,238,282.82
  5. Step 5: Solve for x
    x = 2,238,282.82/1,357.36
  6. Step 6: Final answer
    x = 1,649.00

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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.