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Finding the Fourth Proportional to 1,595.05, 2,392.14 and 1,009.17

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Solution

The fourth proportional to 1,595.05, 2,392.14 and 1,009.17 is: 1,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.05 : 2,392.14 = 1,009.17 : x
  2. Step 2: Convert to fraction form
    1,595.05/2,392.14 = 1,009.17/x
  3. Step 3: Cross multiply
    1,595.05x = 2,392.14 × 1,009.17
  4. Step 4: Simplify right side
    1,595.05x = 2,414,070.88
  5. Step 5: Solve for x
    x = 2,414,070.88/1,595.05
  6. Step 6: Final answer
    x = 1,513.48

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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.