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Finding the Fourth Proportional to 2,635.84, 3,953.71 and 1,526.91

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Solution

The fourth proportional to 2,635.84, 3,953.71 and 1,526.91 is: 2,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.84 : 3,953.71 = 1,526.91 : x
  2. Step 2: Convert to fraction form
    2,635.84/3,953.71 = 1,526.91/x
  3. Step 3: Cross multiply
    2,635.84x = 3,953.71 × 1,526.91
  4. Step 4: Simplify right side
    2,635.84x = 6,036,959.34
  5. Step 5: Solve for x
    x = 6,036,959.34/2,635.84
  6. Step 6: Final answer
    x = 2,290.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.