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Finding the Fourth Proportional to 1,742.60, 2,401.64 and 1,377.64

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Solution

The fourth proportional to 1,742.60, 2,401.64 and 1,377.64 is: 1,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.60 : 2,401.64 = 1,377.64 : x
  2. Step 2: Convert to fraction form
    1,742.60/2,401.64 = 1,377.64/x
  3. Step 3: Cross multiply
    1,742.60x = 2,401.64 × 1,377.64
  4. Step 4: Simplify right side
    1,742.60x = 3,308,595.33
  5. Step 5: Solve for x
    x = 3,308,595.33/1,742.60
  6. Step 6: Final answer
    x = 1,898.65

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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.