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Finding the Fourth Proportional to 2,068.63, 2,854.98 and 1,570.42

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Solution

The fourth proportional to 2,068.63, 2,854.98 and 1,570.42 is: 2,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.63 : 2,854.98 = 1,570.42 : x
  2. Step 2: Convert to fraction form
    2,068.63/2,854.98 = 1,570.42/x
  3. Step 3: Cross multiply
    2,068.63x = 2,854.98 × 1,570.42
  4. Step 4: Simplify right side
    2,068.63x = 4,483,517.69
  5. Step 5: Solve for x
    x = 4,483,517.69/2,068.63
  6. Step 6: Final answer
    x = 2,167.39

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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.