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Finding the Fourth Proportional to 2,881.54, 4,322.04 and 933.76

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Solution

The fourth proportional to 2,881.54, 4,322.04 and 933.76 is: 1,400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.54 : 4,322.04 = 933.76 : x
  2. Step 2: Convert to fraction form
    2,881.54/4,322.04 = 933.76/x
  3. Step 3: Cross multiply
    2,881.54x = 4,322.04 × 933.76
  4. Step 4: Simplify right side
    2,881.54x = 4,035,748.07
  5. Step 5: Solve for x
    x = 4,035,748.07/2,881.54
  6. Step 6: Final answer
    x = 1,400.55

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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.