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Finding the Fourth Proportional to 2,298.59, 3,171.50 and 1,290.08

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Solution

The fourth proportional to 2,298.59, 3,171.50 and 1,290.08 is: 1,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.59 : 3,171.50 = 1,290.08 : x
  2. Step 2: Convert to fraction form
    2,298.59/3,171.50 = 1,290.08/x
  3. Step 3: Cross multiply
    2,298.59x = 3,171.50 × 1,290.08
  4. Step 4: Simplify right side
    2,298.59x = 4,091,484.45
  5. Step 5: Solve for x
    x = 4,091,484.45/2,298.59
  6. Step 6: Final answer
    x = 1,779.99

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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.