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Finding the Fourth Proportional to 1,812.32, 2,500 and 1,223.68

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Solution

The fourth proportional to 1,812.32, 2,500 and 1,223.68 is: 1,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.32 : 2,500 = 1,223.68 : x
  2. Step 2: Convert to fraction form
    1,812.32/2,500 = 1,223.68/x
  3. Step 3: Cross multiply
    1,812.32x = 2,500 × 1,223.68
  4. Step 4: Simplify right side
    1,812.32x = 3,059,200
  5. Step 5: Solve for x
    x = 3,059,200/1,812.32
  6. Step 6: Final answer
    x = 1,688.00

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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.