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Finding the Fourth Proportional to 1,567.60, 2,346.60 and 1,394.80

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Solution

The fourth proportional to 1,567.60, 2,346.60 and 1,394.80 is: 2,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.60 : 2,346.60 = 1,394.80 : x
  2. Step 2: Convert to fraction form
    1,567.60/2,346.60 = 1,394.80/x
  3. Step 3: Cross multiply
    1,567.60x = 2,346.60 × 1,394.80
  4. Step 4: Simplify right side
    1,567.60x = 3,273,037.68
  5. Step 5: Solve for x
    x = 3,273,037.68/1,567.60
  6. Step 6: Final answer
    x = 2,087.93

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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.