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Finding the Fourth Proportional to 2,543.16, 3,509.52 and 1,424.10

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Solution

The fourth proportional to 2,543.16, 3,509.52 and 1,424.10 is: 1,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.16 : 3,509.52 = 1,424.10 : x
  2. Step 2: Convert to fraction form
    2,543.16/3,509.52 = 1,424.10/x
  3. Step 3: Cross multiply
    2,543.16x = 3,509.52 × 1,424.10
  4. Step 4: Simplify right side
    2,543.16x = 4,997,907.43
  5. Step 5: Solve for x
    x = 4,997,907.43/2,543.16
  6. Step 6: Final answer
    x = 1,965.24

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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.