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Finding the Fourth Proportional to 2,122.68, 2,930.36 and 1,534.60

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Solution

The fourth proportional to 2,122.68, 2,930.36 and 1,534.60 is: 2,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.68 : 2,930.36 = 1,534.60 : x
  2. Step 2: Convert to fraction form
    2,122.68/2,930.36 = 1,534.60/x
  3. Step 3: Cross multiply
    2,122.68x = 2,930.36 × 1,534.60
  4. Step 4: Simplify right side
    2,122.68x = 4,496,930.46
  5. Step 5: Solve for x
    x = 4,496,930.46/2,122.68
  6. Step 6: Final answer
    x = 2,118.52

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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.