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Finding the Fourth Proportional to 1,824.60, 2,518 and 1,038.68

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Solution

The fourth proportional to 1,824.60, 2,518 and 1,038.68 is: 1,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.60 : 2,518 = 1,038.68 : x
  2. Step 2: Convert to fraction form
    1,824.60/2,518 = 1,038.68/x
  3. Step 3: Cross multiply
    1,824.60x = 2,518 × 1,038.68
  4. Step 4: Simplify right side
    1,824.60x = 2,615,396.24
  5. Step 5: Solve for x
    x = 2,615,396.24/1,824.60
  6. Step 6: Final answer
    x = 1,433.41

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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.