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Finding the Fourth Proportional to 2,897.25, 4,345.03 and 1,509.87

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Solution

The fourth proportional to 2,897.25, 4,345.03 and 1,509.87 is: 2,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.25 : 4,345.03 = 1,509.87 : x
  2. Step 2: Convert to fraction form
    2,897.25/4,345.03 = 1,509.87/x
  3. Step 3: Cross multiply
    2,897.25x = 4,345.03 × 1,509.87
  4. Step 4: Simplify right side
    2,897.25x = 6,560,440.13
  5. Step 5: Solve for x
    x = 6,560,440.13/2,897.25
  6. Step 6: Final answer
    x = 2,264.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.