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Finding the Fourth Proportional to 1,488.64, 2,218.76 and 1,477.36

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Solution

The fourth proportional to 1,488.64, 2,218.76 and 1,477.36 is: 2,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.64 : 2,218.76 = 1,477.36 : x
  2. Step 2: Convert to fraction form
    1,488.64/2,218.76 = 1,477.36/x
  3. Step 3: Cross multiply
    1,488.64x = 2,218.76 × 1,477.36
  4. Step 4: Simplify right side
    1,488.64x = 3,277,907.27
  5. Step 5: Solve for x
    x = 3,277,907.27/1,488.64
  6. Step 6: Final answer
    x = 2,201.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.