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Finding the Fourth Proportional to 2,465.00, 3,401.63 and 1,345.95

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Solution

The fourth proportional to 2,465.00, 3,401.63 and 1,345.95 is: 1,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.00 : 3,401.63 = 1,345.95 : x
  2. Step 2: Convert to fraction form
    2,465.00/3,401.63 = 1,345.95/x
  3. Step 3: Cross multiply
    2,465.00x = 3,401.63 × 1,345.95
  4. Step 4: Simplify right side
    2,465.00x = 4,578,422.22
  5. Step 5: Solve for x
    x = 4,578,422.22/2,465.00
  6. Step 6: Final answer
    x = 1,857.37

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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.