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Finding the Fourth Proportional to 2,598.39, 3,898.20 and 1,777.05

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Solution

The fourth proportional to 2,598.39, 3,898.20 and 1,777.05 is: 2,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.39 : 3,898.20 = 1,777.05 : x
  2. Step 2: Convert to fraction form
    2,598.39/3,898.20 = 1,777.05/x
  3. Step 3: Cross multiply
    2,598.39x = 3,898.20 × 1,777.05
  4. Step 4: Simplify right side
    2,598.39x = 6,927,301.61
  5. Step 5: Solve for x
    x = 6,927,301.61/2,598.39
  6. Step 6: Final answer
    x = 2,666.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.