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Finding the Fourth Proportional to 1,864.62, 2,573.43 and 1,398.06

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Solution

The fourth proportional to 1,864.62, 2,573.43 and 1,398.06 is: 1,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.62 : 2,573.43 = 1,398.06 : x
  2. Step 2: Convert to fraction form
    1,864.62/2,573.43 = 1,398.06/x
  3. Step 3: Cross multiply
    1,864.62x = 2,573.43 × 1,398.06
  4. Step 4: Simplify right side
    1,864.62x = 3,597,809.55
  5. Step 5: Solve for x
    x = 3,597,809.55/1,864.62
  6. Step 6: Final answer
    x = 1,929.51

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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.