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Finding the Fourth Proportional to 1,595.72, 2,201.42 and 975.08

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Solution

The fourth proportional to 1,595.72, 2,201.42 and 975.08 is: 1,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.72 : 2,201.42 = 975.08 : x
  2. Step 2: Convert to fraction form
    1,595.72/2,201.42 = 975.08/x
  3. Step 3: Cross multiply
    1,595.72x = 2,201.42 × 975.08
  4. Step 4: Simplify right side
    1,595.72x = 2,146,560.61
  5. Step 5: Solve for x
    x = 2,146,560.61/1,595.72
  6. Step 6: Final answer
    x = 1,345.20

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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.