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Finding the Fourth Proportional to 2,690.17, 4,035.53 and 841.01

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Solution

The fourth proportional to 2,690.17, 4,035.53 and 841.01 is: 1,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.17 : 4,035.53 = 841.01 : x
  2. Step 2: Convert to fraction form
    2,690.17/4,035.53 = 841.01/x
  3. Step 3: Cross multiply
    2,690.17x = 4,035.53 × 841.01
  4. Step 4: Simplify right side
    2,690.17x = 3,393,903.01
  5. Step 5: Solve for x
    x = 3,393,903.01/2,690.17
  6. Step 6: Final answer
    x = 1,261.60

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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.