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Finding the Fourth Proportional to 1,854.57, 2,782.26 and 556.14

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Solution

The fourth proportional to 1,854.57, 2,782.26 and 556.14 is: 834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.57 : 2,782.26 = 556.14 : x
  2. Step 2: Convert to fraction form
    1,854.57/2,782.26 = 556.14/x
  3. Step 3: Cross multiply
    1,854.57x = 2,782.26 × 556.14
  4. Step 4: Simplify right side
    1,854.57x = 1,547,326.08
  5. Step 5: Solve for x
    x = 1,547,326.08/1,854.57
  6. Step 6: Final answer
    x = 834.33

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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.