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Finding the Fourth Proportional to 1,929.67, 2,894.51 and 468.82

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Solution

The fourth proportional to 1,929.67, 2,894.51 and 468.82 is: 703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.67 : 2,894.51 = 468.82 : x
  2. Step 2: Convert to fraction form
    1,929.67/2,894.51 = 468.82/x
  3. Step 3: Cross multiply
    1,929.67x = 2,894.51 × 468.82
  4. Step 4: Simplify right side
    1,929.67x = 1,357,004.18
  5. Step 5: Solve for x
    x = 1,357,004.18/1,929.67
  6. Step 6: Final answer
    x = 703.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.