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Finding the Fourth Proportional to 1,395.93, 1,925.72 and 997.68

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Solution

The fourth proportional to 1,395.93, 1,925.72 and 997.68 is: 1,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.93 : 1,925.72 = 997.68 : x
  2. Step 2: Convert to fraction form
    1,395.93/1,925.72 = 997.68/x
  3. Step 3: Cross multiply
    1,395.93x = 1,925.72 × 997.68
  4. Step 4: Simplify right side
    1,395.93x = 1,921,247.34
  5. Step 5: Solve for x
    x = 1,921,247.34/1,395.93
  6. Step 6: Final answer
    x = 1,376.32

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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.