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Finding the Fourth Proportional to 2,157.30, 3,235.95 and 924.39

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Solution

The fourth proportional to 2,157.30, 3,235.95 and 924.39 is: 1,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.30 : 3,235.95 = 924.39 : x
  2. Step 2: Convert to fraction form
    2,157.30/3,235.95 = 924.39/x
  3. Step 3: Cross multiply
    2,157.30x = 3,235.95 × 924.39
  4. Step 4: Simplify right side
    2,157.30x = 2,991,279.82
  5. Step 5: Solve for x
    x = 2,991,279.82/2,157.30
  6. Step 6: Final answer
    x = 1,386.59

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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.