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Finding the Fourth Proportional to 2,298.96, 3,448.80 and 1,065.84

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Solution

The fourth proportional to 2,298.96, 3,448.80 and 1,065.84 is: 1,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.96 : 3,448.80 = 1,065.84 : x
  2. Step 2: Convert to fraction form
    2,298.96/3,448.80 = 1,065.84/x
  3. Step 3: Cross multiply
    2,298.96x = 3,448.80 × 1,065.84
  4. Step 4: Simplify right side
    2,298.96x = 3,675,868.99
  5. Step 5: Solve for x
    x = 3,675,868.99/2,298.96
  6. Step 6: Final answer
    x = 1,598.93

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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.