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Finding the Fourth Proportional to 2,526.91, 3,485.16 and 1,643

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Solution

The fourth proportional to 2,526.91, 3,485.16 and 1,643 is: 2,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.91 : 3,485.16 = 1,643 : x
  2. Step 2: Convert to fraction form
    2,526.91/3,485.16 = 1,643/x
  3. Step 3: Cross multiply
    2,526.91x = 3,485.16 × 1,643
  4. Step 4: Simplify right side
    2,526.91x = 5,726,117.88
  5. Step 5: Solve for x
    x = 5,726,117.88/2,526.91
  6. Step 6: Final answer
    x = 2,266.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.