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Finding the Fourth Proportional to 1,857.24, 2,785.32 and 559.08

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Solution

The fourth proportional to 1,857.24, 2,785.32 and 559.08 is: 838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.24 : 2,785.32 = 559.08 : x
  2. Step 2: Convert to fraction form
    1,857.24/2,785.32 = 559.08/x
  3. Step 3: Cross multiply
    1,857.24x = 2,785.32 × 559.08
  4. Step 4: Simplify right side
    1,857.24x = 1,557,216.71
  5. Step 5: Solve for x
    x = 1,557,216.71/1,857.24
  6. Step 6: Final answer
    x = 838.46

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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.