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Finding the Fourth Proportional to 2,705.40, 4,055.64 and 1,402.92

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Solution

The fourth proportional to 2,705.40, 4,055.64 and 1,402.92 is: 2,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.40 : 4,055.64 = 1,402.92 : x
  2. Step 2: Convert to fraction form
    2,705.40/4,055.64 = 1,402.92/x
  3. Step 3: Cross multiply
    2,705.40x = 4,055.64 × 1,402.92
  4. Step 4: Simplify right side
    2,705.40x = 5,689,738.47
  5. Step 5: Solve for x
    x = 5,689,738.47/2,705.40
  6. Step 6: Final answer
    x = 2,103.10

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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.