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Finding the Fourth Proportional to 1,699.40, 2,345.81 and 1,462.47

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Solution

The fourth proportional to 1,699.40, 2,345.81 and 1,462.47 is: 2,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.40 : 2,345.81 = 1,462.47 : x
  2. Step 2: Convert to fraction form
    1,699.40/2,345.81 = 1,462.47/x
  3. Step 3: Cross multiply
    1,699.40x = 2,345.81 × 1,462.47
  4. Step 4: Simplify right side
    1,699.40x = 3,430,669.44
  5. Step 5: Solve for x
    x = 3,430,669.44/1,699.40
  6. Step 6: Final answer
    x = 2,018.76

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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.