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Finding the Fourth Proportional to 2,070.40, 2,854.36 and 1,406.10

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Solution

The fourth proportional to 2,070.40, 2,854.36 and 1,406.10 is: 1,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.40 : 2,854.36 = 1,406.10 : x
  2. Step 2: Convert to fraction form
    2,070.40/2,854.36 = 1,406.10/x
  3. Step 3: Cross multiply
    2,070.40x = 2,854.36 × 1,406.10
  4. Step 4: Simplify right side
    2,070.40x = 4,013,508.57
  5. Step 5: Solve for x
    x = 4,013,508.57/2,070.40
  6. Step 6: Final answer
    x = 1,938.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.