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Finding the Fourth Proportional to 1,597.43, 2,395.16 and 904.57

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Solution

The fourth proportional to 1,597.43, 2,395.16 and 904.57 is: 1,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.43 : 2,395.16 = 904.57 : x
  2. Step 2: Convert to fraction form
    1,597.43/2,395.16 = 904.57/x
  3. Step 3: Cross multiply
    1,597.43x = 2,395.16 × 904.57
  4. Step 4: Simplify right side
    1,597.43x = 2,166,573.38
  5. Step 5: Solve for x
    x = 2,166,573.38/1,597.43
  6. Step 6: Final answer
    x = 1,356.29

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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.