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Finding the Fourth Proportional to 1,773.32, 2,424.40 and 1,705.28

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Solution

The fourth proportional to 1,773.32, 2,424.40 and 1,705.28 is: 2,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.32 : 2,424.40 = 1,705.28 : x
  2. Step 2: Convert to fraction form
    1,773.32/2,424.40 = 1,705.28/x
  3. Step 3: Cross multiply
    1,773.32x = 2,424.40 × 1,705.28
  4. Step 4: Simplify right side
    1,773.32x = 4,134,280.83
  5. Step 5: Solve for x
    x = 4,134,280.83/1,773.32
  6. Step 6: Final answer
    x = 2,331.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.