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Finding the Fourth Proportional to 1,854.72, 2,782.08 and 828

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Solution

The fourth proportional to 1,854.72, 2,782.08 and 828 is: 1,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.72 : 2,782.08 = 828 : x
  2. Step 2: Convert to fraction form
    1,854.72/2,782.08 = 828/x
  3. Step 3: Cross multiply
    1,854.72x = 2,782.08 × 828
  4. Step 4: Simplify right side
    1,854.72x = 2,303,562.24
  5. Step 5: Solve for x
    x = 2,303,562.24/1,854.72
  6. Step 6: Final answer
    x = 1,242.00

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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.