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Finding the Fourth Proportional to 2,385.77, 3,572.53 and 1,561.64

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Solution

The fourth proportional to 2,385.77, 3,572.53 and 1,561.64 is: 2,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.77 : 3,572.53 = 1,561.64 : x
  2. Step 2: Convert to fraction form
    2,385.77/3,572.53 = 1,561.64/x
  3. Step 3: Cross multiply
    2,385.77x = 3,572.53 × 1,561.64
  4. Step 4: Simplify right side
    2,385.77x = 5,578,983.98
  5. Step 5: Solve for x
    x = 5,578,983.98/2,385.77
  6. Step 6: Final answer
    x = 2,338.45

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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.