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Finding the Fourth Proportional to 1,854.40, 2,558.10 and 1,605.64

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Solution

The fourth proportional to 1,854.40, 2,558.10 and 1,605.64 is: 2,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.40 : 2,558.10 = 1,605.64 : x
  2. Step 2: Convert to fraction form
    1,854.40/2,558.10 = 1,605.64/x
  3. Step 3: Cross multiply
    1,854.40x = 2,558.10 × 1,605.64
  4. Step 4: Simplify right side
    1,854.40x = 4,107,387.68
  5. Step 5: Solve for x
    x = 4,107,387.68/1,854.40
  6. Step 6: Final answer
    x = 2,214.94

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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.