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Finding the Fourth Proportional to 1,422.63, 2,133.86 and 874.89

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Solution

The fourth proportional to 1,422.63, 2,133.86 and 874.89 is: 1,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.63 : 2,133.86 = 874.89 : x
  2. Step 2: Convert to fraction form
    1,422.63/2,133.86 = 874.89/x
  3. Step 3: Cross multiply
    1,422.63x = 2,133.86 × 874.89
  4. Step 4: Simplify right side
    1,422.63x = 1,866,888.40
  5. Step 5: Solve for x
    x = 1,866,888.40/1,422.63
  6. Step 6: Final answer
    x = 1,312.28

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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.