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Finding the Fourth Proportional to 2,473.49, 3,701.64 and 1,536.05

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Solution

The fourth proportional to 2,473.49, 3,701.64 and 1,536.05 is: 2,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.49 : 3,701.64 = 1,536.05 : x
  2. Step 2: Convert to fraction form
    2,473.49/3,701.64 = 1,536.05/x
  3. Step 3: Cross multiply
    2,473.49x = 3,701.64 × 1,536.05
  4. Step 4: Simplify right side
    2,473.49x = 5,685,904.12
  5. Step 5: Solve for x
    x = 5,685,904.12/2,473.49
  6. Step 6: Final answer
    x = 2,298.74

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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.