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Finding the Fourth Proportional to 1,390.17, 1,919.03 and 866.46

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Solution

The fourth proportional to 1,390.17, 1,919.03 and 866.46 is: 1,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.17 : 1,919.03 = 866.46 : x
  2. Step 2: Convert to fraction form
    1,390.17/1,919.03 = 866.46/x
  3. Step 3: Cross multiply
    1,390.17x = 1,919.03 × 866.46
  4. Step 4: Simplify right side
    1,390.17x = 1,662,758.40
  5. Step 5: Solve for x
    x = 1,662,758.40/1,390.17
  6. Step 6: Final answer
    x = 1,196.08

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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.