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Finding the Fourth Proportional to 1,762.84, 2,631.24 and 1,555.32

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Solution

The fourth proportional to 1,762.84, 2,631.24 and 1,555.32 is: 2,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.84 : 2,631.24 = 1,555.32 : x
  2. Step 2: Convert to fraction form
    1,762.84/2,631.24 = 1,555.32/x
  3. Step 3: Cross multiply
    1,762.84x = 2,631.24 × 1,555.32
  4. Step 4: Simplify right side
    1,762.84x = 4,092,420.20
  5. Step 5: Solve for x
    x = 4,092,420.20/1,762.84
  6. Step 6: Final answer
    x = 2,321.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.