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Finding the Fourth Proportional to 2,594.04, 3,579.80 and 1,415.13

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Solution

The fourth proportional to 2,594.04, 3,579.80 and 1,415.13 is: 1,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.04 : 3,579.80 = 1,415.13 : x
  2. Step 2: Convert to fraction form
    2,594.04/3,579.80 = 1,415.13/x
  3. Step 3: Cross multiply
    2,594.04x = 3,579.80 × 1,415.13
  4. Step 4: Simplify right side
    2,594.04x = 5,065,857.40
  5. Step 5: Solve for x
    x = 5,065,857.40/2,594.04
  6. Step 6: Final answer
    x = 1,952.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.