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Finding the Fourth Proportional to 1,929.66, 2,894.49 and 468.81

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Solution

The fourth proportional to 1,929.66, 2,894.49 and 468.81 is: 703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.66 : 2,894.49 = 468.81 : x
  2. Step 2: Convert to fraction form
    1,929.66/2,894.49 = 468.81/x
  3. Step 3: Cross multiply
    1,929.66x = 2,894.49 × 468.81
  4. Step 4: Simplify right side
    1,929.66x = 1,356,965.86
  5. Step 5: Solve for x
    x = 1,356,965.86/1,929.66
  6. Step 6: Final answer
    x = 703.22

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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.