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Finding the Fourth Proportional to 2,068.34, 2,854.64 and 1,404.74

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Solution

The fourth proportional to 2,068.34, 2,854.64 and 1,404.74 is: 1,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.34 : 2,854.64 = 1,404.74 : x
  2. Step 2: Convert to fraction form
    2,068.34/2,854.64 = 1,404.74/x
  3. Step 3: Cross multiply
    2,068.34x = 2,854.64 × 1,404.74
  4. Step 4: Simplify right side
    2,068.34x = 4,010,037.64
  5. Step 5: Solve for x
    x = 4,010,037.64/2,068.34
  6. Step 6: Final answer
    x = 1,938.78

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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.