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Finding the Fourth Proportional to 2,147.58, 3,216.09 and 1,048.40

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Solution

The fourth proportional to 2,147.58, 3,216.09 and 1,048.40 is: 1,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.58 : 3,216.09 = 1,048.40 : x
  2. Step 2: Convert to fraction form
    2,147.58/3,216.09 = 1,048.40/x
  3. Step 3: Cross multiply
    2,147.58x = 3,216.09 × 1,048.40
  4. Step 4: Simplify right side
    2,147.58x = 3,371,748.76
  5. Step 5: Solve for x
    x = 3,371,748.76/2,147.58
  6. Step 6: Final answer
    x = 1,570.02

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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.