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Finding the Fourth Proportional to 2,070.48, 3,104.04 and 1,029.84

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Solution

The fourth proportional to 2,070.48, 3,104.04 and 1,029.84 is: 1,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.48 : 3,104.04 = 1,029.84 : x
  2. Step 2: Convert to fraction form
    2,070.48/3,104.04 = 1,029.84/x
  3. Step 3: Cross multiply
    2,070.48x = 3,104.04 × 1,029.84
  4. Step 4: Simplify right side
    2,070.48x = 3,196,664.55
  5. Step 5: Solve for x
    x = 3,196,664.55/2,070.48
  6. Step 6: Final answer
    x = 1,543.92

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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.