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Finding the Fourth Proportional to 1,461.77, 2,017.55 and 964.47

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Solution

The fourth proportional to 1,461.77, 2,017.55 and 964.47 is: 1,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.77 : 2,017.55 = 964.47 : x
  2. Step 2: Convert to fraction form
    1,461.77/2,017.55 = 964.47/x
  3. Step 3: Cross multiply
    1,461.77x = 2,017.55 × 964.47
  4. Step 4: Simplify right side
    1,461.77x = 1,945,861.63
  5. Step 5: Solve for x
    x = 1,945,861.63/1,461.77
  6. Step 6: Final answer
    x = 1,331.17

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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.