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Finding the Fourth Proportional to 1,762.58, 2,426.83 and 1,496.47

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Solution

The fourth proportional to 1,762.58, 2,426.83 and 1,496.47 is: 2,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.58 : 2,426.83 = 1,496.47 : x
  2. Step 2: Convert to fraction form
    1,762.58/2,426.83 = 1,496.47/x
  3. Step 3: Cross multiply
    1,762.58x = 2,426.83 × 1,496.47
  4. Step 4: Simplify right side
    1,762.58x = 3,631,658.67
  5. Step 5: Solve for x
    x = 3,631,658.67/1,762.58
  6. Step 6: Final answer
    x = 2,060.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.