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Finding the Fourth Proportional to 1,871.03, 2,578.92 and 1,714.16

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Solution

The fourth proportional to 1,871.03, 2,578.92 and 1,714.16 is: 2,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.03 : 2,578.92 = 1,714.16 : x
  2. Step 2: Convert to fraction form
    1,871.03/2,578.92 = 1,714.16/x
  3. Step 3: Cross multiply
    1,871.03x = 2,578.92 × 1,714.16
  4. Step 4: Simplify right side
    1,871.03x = 4,420,681.51
  5. Step 5: Solve for x
    x = 4,420,681.51/1,871.03
  6. Step 6: Final answer
    x = 2,362.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.