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Finding the Fourth Proportional to 2,681.60, 3,697.94 and 1,633.01

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Solution

The fourth proportional to 2,681.60, 3,697.94 and 1,633.01 is: 2,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.60 : 3,697.94 = 1,633.01 : x
  2. Step 2: Convert to fraction form
    2,681.60/3,697.94 = 1,633.01/x
  3. Step 3: Cross multiply
    2,681.60x = 3,697.94 × 1,633.01
  4. Step 4: Simplify right side
    2,681.60x = 6,038,746.34
  5. Step 5: Solve for x
    x = 6,038,746.34/2,681.60
  6. Step 6: Final answer
    x = 2,251.92

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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.