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Finding the Fourth Proportional to 1,762.80, 2,631.18 and 1,653.36

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Solution

The fourth proportional to 1,762.80, 2,631.18 and 1,653.36 is: 2,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.80 : 2,631.18 = 1,653.36 : x
  2. Step 2: Convert to fraction form
    1,762.80/2,631.18 = 1,653.36/x
  3. Step 3: Cross multiply
    1,762.80x = 2,631.18 × 1,653.36
  4. Step 4: Simplify right side
    1,762.80x = 4,350,287.76
  5. Step 5: Solve for x
    x = 4,350,287.76/1,762.80
  6. Step 6: Final answer
    x = 2,467.83

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