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Finding the Fourth Proportional to 1,820.96, 2,507.28 and 1,509.92

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Solution

The fourth proportional to 1,820.96, 2,507.28 and 1,509.92 is: 2,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.96 : 2,507.28 = 1,509.92 : x
  2. Step 2: Convert to fraction form
    1,820.96/2,507.28 = 1,509.92/x
  3. Step 3: Cross multiply
    1,820.96x = 2,507.28 × 1,509.92
  4. Step 4: Simplify right side
    1,820.96x = 3,785,792.22
  5. Step 5: Solve for x
    x = 3,785,792.22/1,820.96
  6. Step 6: Final answer
    x = 2,079.01

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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.