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Finding the Fourth Proportional to 1,488.64, 2,053.56 and 964.84

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Solution

The fourth proportional to 1,488.64, 2,053.56 and 964.84 is: 1,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.64 : 2,053.56 = 964.84 : x
  2. Step 2: Convert to fraction form
    1,488.64/2,053.56 = 964.84/x
  3. Step 3: Cross multiply
    1,488.64x = 2,053.56 × 964.84
  4. Step 4: Simplify right side
    1,488.64x = 1,981,356.83
  5. Step 5: Solve for x
    x = 1,981,356.83/1,488.64
  6. Step 6: Final answer
    x = 1,330.98

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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.