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Finding the Fourth Proportional to 1,567.89, 2,163.51 and 904.50

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Solution

The fourth proportional to 1,567.89, 2,163.51 and 904.50 is: 1,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.89 : 2,163.51 = 904.50 : x
  2. Step 2: Convert to fraction form
    1,567.89/2,163.51 = 904.50/x
  3. Step 3: Cross multiply
    1,567.89x = 2,163.51 × 904.50
  4. Step 4: Simplify right side
    1,567.89x = 1,956,894.80
  5. Step 5: Solve for x
    x = 1,956,894.80/1,567.89
  6. Step 6: Final answer
    x = 1,248.11

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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.