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Finding the Fourth Proportional to 2,348.60, 3,240.68 and 1,404.77

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Solution

The fourth proportional to 2,348.60, 3,240.68 and 1,404.77 is: 1,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.60 : 3,240.68 = 1,404.77 : x
  2. Step 2: Convert to fraction form
    2,348.60/3,240.68 = 1,404.77/x
  3. Step 3: Cross multiply
    2,348.60x = 3,240.68 × 1,404.77
  4. Step 4: Simplify right side
    2,348.60x = 4,552,386.82
  5. Step 5: Solve for x
    x = 4,552,386.82/2,348.60
  6. Step 6: Final answer
    x = 1,938.34

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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.