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Finding the Fourth Proportional to 1,762.78, 2,429.31 and 1,525.99

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Solution

The fourth proportional to 1,762.78, 2,429.31 and 1,525.99 is: 2,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.78 : 2,429.31 = 1,525.99 : x
  2. Step 2: Convert to fraction form
    1,762.78/2,429.31 = 1,525.99/x
  3. Step 3: Cross multiply
    1,762.78x = 2,429.31 × 1,525.99
  4. Step 4: Simplify right side
    1,762.78x = 3,707,102.77
  5. Step 5: Solve for x
    x = 3,707,102.77/1,762.78
  6. Step 6: Final answer
    x = 2,102.99

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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.