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Finding the Fourth Proportional to 1,854.84, 2,781.78 and 556.08

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Solution

The fourth proportional to 1,854.84, 2,781.78 and 556.08 is: 833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.84 : 2,781.78 = 556.08 : x
  2. Step 2: Convert to fraction form
    1,854.84/2,781.78 = 556.08/x
  3. Step 3: Cross multiply
    1,854.84x = 2,781.78 × 556.08
  4. Step 4: Simplify right side
    1,854.84x = 1,546,892.22
  5. Step 5: Solve for x
    x = 1,546,892.22/1,854.84
  6. Step 6: Final answer
    x = 833.98

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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.