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Finding the Fourth Proportional to 1,567.90, 2,163.51 and 904.72

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Solution

The fourth proportional to 1,567.90, 2,163.51 and 904.72 is: 1,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.90 : 2,163.51 = 904.72 : x
  2. Step 2: Convert to fraction form
    1,567.90/2,163.51 = 904.72/x
  3. Step 3: Cross multiply
    1,567.90x = 2,163.51 × 904.72
  4. Step 4: Simplify right side
    1,567.90x = 1,957,370.77
  5. Step 5: Solve for x
    x = 1,957,370.77/1,567.90
  6. Step 6: Final answer
    x = 1,248.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.