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Finding the Fourth Proportional to 1,864.51, 2,573.07 and 1,025.22

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Solution

The fourth proportional to 1,864.51, 2,573.07 and 1,025.22 is: 1,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.51 : 2,573.07 = 1,025.22 : x
  2. Step 2: Convert to fraction form
    1,864.51/2,573.07 = 1,025.22/x
  3. Step 3: Cross multiply
    1,864.51x = 2,573.07 × 1,025.22
  4. Step 4: Simplify right side
    1,864.51x = 2,637,962.83
  5. Step 5: Solve for x
    x = 2,637,962.83/1,864.51
  6. Step 6: Final answer
    x = 1,414.83

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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.