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Finding the Fourth Proportional to 1,929.95, 2,894.89 and 469.09

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Solution

The fourth proportional to 1,929.95, 2,894.89 and 469.09 is: 703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.95 : 2,894.89 = 469.09 : x
  2. Step 2: Convert to fraction form
    1,929.95/2,894.89 = 469.09/x
  3. Step 3: Cross multiply
    1,929.95x = 2,894.89 × 469.09
  4. Step 4: Simplify right side
    1,929.95x = 1,357,963.95
  5. Step 5: Solve for x
    x = 1,357,963.95/1,929.95
  6. Step 6: Final answer
    x = 703.63

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