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Finding the Fourth Proportional to 2,103.90, 2,903.34 and 1,146.82

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Solution

The fourth proportional to 2,103.90, 2,903.34 and 1,146.82 is: 1,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.90 : 2,903.34 = 1,146.82 : x
  2. Step 2: Convert to fraction form
    2,103.90/2,903.34 = 1,146.82/x
  3. Step 3: Cross multiply
    2,103.90x = 2,903.34 × 1,146.82
  4. Step 4: Simplify right side
    2,103.90x = 3,329,599.47
  5. Step 5: Solve for x
    x = 3,329,599.47/2,103.90
  6. Step 6: Final answer
    x = 1,582.59

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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.