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Finding the Fourth Proportional to 1,559.61, 2,340.06 and 866.76

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Solution

The fourth proportional to 1,559.61, 2,340.06 and 866.76 is: 1,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.61 : 2,340.06 = 866.76 : x
  2. Step 2: Convert to fraction form
    1,559.61/2,340.06 = 866.76/x
  3. Step 3: Cross multiply
    1,559.61x = 2,340.06 × 866.76
  4. Step 4: Simplify right side
    1,559.61x = 2,028,272.27
  5. Step 5: Solve for x
    x = 2,028,272.27/1,559.61
  6. Step 6: Final answer
    x = 1,300.50

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Why These Related Problems?

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