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Finding the Fourth Proportional to 2,151.42, 2,970.18 and 1,488.84

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Solution

The fourth proportional to 2,151.42, 2,970.18 and 1,488.84 is: 2,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.42 : 2,970.18 = 1,488.84 : x
  2. Step 2: Convert to fraction form
    2,151.42/2,970.18 = 1,488.84/x
  3. Step 3: Cross multiply
    2,151.42x = 2,970.18 × 1,488.84
  4. Step 4: Simplify right side
    2,151.42x = 4,422,122.79
  5. Step 5: Solve for x
    x = 4,422,122.79/2,151.42
  6. Step 6: Final answer
    x = 2,055.44

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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.