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Finding the Fourth Proportional to 1,772, 2,445.41 and 975.28

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Solution

The fourth proportional to 1,772, 2,445.41 and 975.28 is: 1,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772 : 2,445.41 = 975.28 : x
  2. Step 2: Convert to fraction form
    1,772/2,445.41 = 975.28/x
  3. Step 3: Cross multiply
    1,772x = 2,445.41 × 975.28
  4. Step 4: Simplify right side
    1,772x = 2,384,959.46
  5. Step 5: Solve for x
    x = 2,384,959.46/1,772
  6. Step 6: Final answer
    x = 1,345.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.