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Finding the Fourth Proportional to 2,124.68, 3,185.78 and 1,259.60

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Solution

The fourth proportional to 2,124.68, 3,185.78 and 1,259.60 is: 1,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.68 : 3,185.78 = 1,259.60 : x
  2. Step 2: Convert to fraction form
    2,124.68/3,185.78 = 1,259.60/x
  3. Step 3: Cross multiply
    2,124.68x = 3,185.78 × 1,259.60
  4. Step 4: Simplify right side
    2,124.68x = 4,012,808.49
  5. Step 5: Solve for x
    x = 4,012,808.49/2,124.68
  6. Step 6: Final answer
    x = 1,888.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.