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Finding the Fourth Proportional to 2,703.15, 3,730.64 and 1,654.95

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Solution

The fourth proportional to 2,703.15, 3,730.64 and 1,654.95 is: 2,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.15 : 3,730.64 = 1,654.95 : x
  2. Step 2: Convert to fraction form
    2,703.15/3,730.64 = 1,654.95/x
  3. Step 3: Cross multiply
    2,703.15x = 3,730.64 × 1,654.95
  4. Step 4: Simplify right side
    2,703.15x = 6,174,014.39
  5. Step 5: Solve for x
    x = 6,174,014.39/2,703.15
  6. Step 6: Final answer
    x = 2,284.01

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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.