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Finding the Fourth Proportional to 2,507.70, 3,462 and 1,513.23

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Solution

The fourth proportional to 2,507.70, 3,462 and 1,513.23 is: 2,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.70 : 3,462 = 1,513.23 : x
  2. Step 2: Convert to fraction form
    2,507.70/3,462 = 1,513.23/x
  3. Step 3: Cross multiply
    2,507.70x = 3,462 × 1,513.23
  4. Step 4: Simplify right side
    2,507.70x = 5,238,802.26
  5. Step 5: Solve for x
    x = 5,238,802.26/2,507.70
  6. Step 6: Final answer
    x = 2,089.09

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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.