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Finding the Fourth Proportional to 1,555.76, 2,146.20 and 966.98

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Solution

The fourth proportional to 1,555.76, 2,146.20 and 966.98 is: 1,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.76 : 2,146.20 = 966.98 : x
  2. Step 2: Convert to fraction form
    1,555.76/2,146.20 = 966.98/x
  3. Step 3: Cross multiply
    1,555.76x = 2,146.20 × 966.98
  4. Step 4: Simplify right side
    1,555.76x = 2,075,332.48
  5. Step 5: Solve for x
    x = 2,075,332.48/1,555.76
  6. Step 6: Final answer
    x = 1,333.97

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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.