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Finding the Fourth Proportional to 2,534.91, 3,803.28 and 1,810.17

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Solution

The fourth proportional to 2,534.91, 3,803.28 and 1,810.17 is: 2,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.91 : 3,803.28 = 1,810.17 : x
  2. Step 2: Convert to fraction form
    2,534.91/3,803.28 = 1,810.17/x
  3. Step 3: Cross multiply
    2,534.91x = 3,803.28 × 1,810.17
  4. Step 4: Simplify right side
    2,534.91x = 6,884,583.36
  5. Step 5: Solve for x
    x = 6,884,583.36/2,534.91
  6. Step 6: Final answer
    x = 2,715.91

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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.