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Finding the Fourth Proportional to 1,461.77, 2,187.15 and 1,382.64

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Solution

The fourth proportional to 1,461.77, 2,187.15 and 1,382.64 is: 2,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.77 : 2,187.15 = 1,382.64 : x
  2. Step 2: Convert to fraction form
    1,461.77/2,187.15 = 1,382.64/x
  3. Step 3: Cross multiply
    1,461.77x = 2,187.15 × 1,382.64
  4. Step 4: Simplify right side
    1,461.77x = 3,024,041.08
  5. Step 5: Solve for x
    x = 3,024,041.08/1,461.77
  6. Step 6: Final answer
    x = 2,068.76

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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.