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Finding the Fourth Proportional to 2,499, 3,448.60 and 1,364.67

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Solution

The fourth proportional to 2,499, 3,448.60 and 1,364.67 is: 1,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499 : 3,448.60 = 1,364.67 : x
  2. Step 2: Convert to fraction form
    2,499/3,448.60 = 1,364.67/x
  3. Step 3: Cross multiply
    2,499x = 3,448.60 × 1,364.67
  4. Step 4: Simplify right side
    2,499x = 4,706,200.96
  5. Step 5: Solve for x
    x = 4,706,200.96/2,499
  6. Step 6: Final answer
    x = 1,883.23

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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.