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Finding the Fourth Proportional to 2,420.60, 3,340.04 and 1,358.42

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Solution

The fourth proportional to 2,420.60, 3,340.04 and 1,358.42 is: 1,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.60 : 3,340.04 = 1,358.42 : x
  2. Step 2: Convert to fraction form
    2,420.60/3,340.04 = 1,358.42/x
  3. Step 3: Cross multiply
    2,420.60x = 3,340.04 × 1,358.42
  4. Step 4: Simplify right side
    2,420.60x = 4,537,153.64
  5. Step 5: Solve for x
    x = 4,537,153.64/2,420.60
  6. Step 6: Final answer
    x = 1,874.40

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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.