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Finding the Fourth Proportional to 2,085.22, 3,127.80 and 525.22

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Solution

The fourth proportional to 2,085.22, 3,127.80 and 525.22 is: 787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.22 : 3,127.80 = 525.22 : x
  2. Step 2: Convert to fraction form
    2,085.22/3,127.80 = 525.22/x
  3. Step 3: Cross multiply
    2,085.22x = 3,127.80 × 525.22
  4. Step 4: Simplify right side
    2,085.22x = 1,642,783.12
  5. Step 5: Solve for x
    x = 1,642,783.12/2,085.22
  6. Step 6: Final answer
    x = 787.82

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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.