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Finding the Fourth Proportional to 2,507.95, 3,462 and 1,700.59

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Solution

The fourth proportional to 2,507.95, 3,462 and 1,700.59 is: 2,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.95 : 3,462 = 1,700.59 : x
  2. Step 2: Convert to fraction form
    2,507.95/3,462 = 1,700.59/x
  3. Step 3: Cross multiply
    2,507.95x = 3,462 × 1,700.59
  4. Step 4: Simplify right side
    2,507.95x = 5,887,442.58
  5. Step 5: Solve for x
    x = 5,887,442.58/2,507.95
  6. Step 6: Final answer
    x = 2,347.51

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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.