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Finding the Fourth Proportional to 2,521.58, 3,782.76 and 790.22

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Solution

The fourth proportional to 2,521.58, 3,782.76 and 790.22 is: 1,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.58 : 3,782.76 = 790.22 : x
  2. Step 2: Convert to fraction form
    2,521.58/3,782.76 = 790.22/x
  3. Step 3: Cross multiply
    2,521.58x = 3,782.76 × 790.22
  4. Step 4: Simplify right side
    2,521.58x = 2,989,212.61
  5. Step 5: Solve for x
    x = 2,989,212.61/2,521.58
  6. Step 6: Final answer
    x = 1,185.45

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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.