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Finding the Fourth Proportional to 1,567.60, 2,163.26 and 904.57

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Solution

The fourth proportional to 1,567.60, 2,163.26 and 904.57 is: 1,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.60 : 2,163.26 = 904.57 : x
  2. Step 2: Convert to fraction form
    1,567.60/2,163.26 = 904.57/x
  3. Step 3: Cross multiply
    1,567.60x = 2,163.26 × 904.57
  4. Step 4: Simplify right side
    1,567.60x = 1,956,811.86
  5. Step 5: Solve for x
    x = 1,956,811.86/1,567.60
  6. Step 6: Final answer
    x = 1,248.28

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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.