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Finding the Fourth Proportional to 1,857.43, 2,564.14 and 1,484.02

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Solution

The fourth proportional to 1,857.43, 2,564.14 and 1,484.02 is: 2,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.43 : 2,564.14 = 1,484.02 : x
  2. Step 2: Convert to fraction form
    1,857.43/2,564.14 = 1,484.02/x
  3. Step 3: Cross multiply
    1,857.43x = 2,564.14 × 1,484.02
  4. Step 4: Simplify right side
    1,857.43x = 3,805,218.51
  5. Step 5: Solve for x
    x = 3,805,218.51/1,857.43
  6. Step 6: Final answer
    x = 2,048.65

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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.