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Finding the Fourth Proportional to 2,178.71, 3,007.98 and 1,498.51

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Solution

The fourth proportional to 2,178.71, 3,007.98 and 1,498.51 is: 2,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.71 : 3,007.98 = 1,498.51 : x
  2. Step 2: Convert to fraction form
    2,178.71/3,007.98 = 1,498.51/x
  3. Step 3: Cross multiply
    2,178.71x = 3,007.98 × 1,498.51
  4. Step 4: Simplify right side
    2,178.71x = 4,507,488.11
  5. Step 5: Solve for x
    x = 4,507,488.11/2,178.71
  6. Step 6: Final answer
    x = 2,068.88

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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.