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Finding the Fourth Proportional to 2,223.79, 3,068.38 and 1,384.63

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Solution

The fourth proportional to 2,223.79, 3,068.38 and 1,384.63 is: 1,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.79 : 3,068.38 = 1,384.63 : x
  2. Step 2: Convert to fraction form
    2,223.79/3,068.38 = 1,384.63/x
  3. Step 3: Cross multiply
    2,223.79x = 3,068.38 × 1,384.63
  4. Step 4: Simplify right side
    2,223.79x = 4,248,565.06
  5. Step 5: Solve for x
    x = 4,248,565.06/2,223.79
  6. Step 6: Final answer
    x = 1,910.51

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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.