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Finding the Fourth Proportional to 2,533.77, 3,496.50 and 1,471.47

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Solution

The fourth proportional to 2,533.77, 3,496.50 and 1,471.47 is: 2,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.77 : 3,496.50 = 1,471.47 : x
  2. Step 2: Convert to fraction form
    2,533.77/3,496.50 = 1,471.47/x
  3. Step 3: Cross multiply
    2,533.77x = 3,496.50 × 1,471.47
  4. Step 4: Simplify right side
    2,533.77x = 5,144,994.86
  5. Step 5: Solve for x
    x = 5,144,994.86/2,533.77
  6. Step 6: Final answer
    x = 2,030.57

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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.