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Finding the Fourth Proportional to 2,407.78, 3,323 and 1,359.76

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Solution

The fourth proportional to 2,407.78, 3,323 and 1,359.76 is: 1,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.78 : 3,323 = 1,359.76 : x
  2. Step 2: Convert to fraction form
    2,407.78/3,323 = 1,359.76/x
  3. Step 3: Cross multiply
    2,407.78x = 3,323 × 1,359.76
  4. Step 4: Simplify right side
    2,407.78x = 4,518,482.48
  5. Step 5: Solve for x
    x = 4,518,482.48/2,407.78
  6. Step 6: Final answer
    x = 1,876.62

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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.