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Finding the Fourth Proportional to 2,298.93, 3,445.99 and 1,065.32

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Solution

The fourth proportional to 2,298.93, 3,445.99 and 1,065.32 is: 1,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.93 : 3,445.99 = 1,065.32 : x
  2. Step 2: Convert to fraction form
    2,298.93/3,445.99 = 1,065.32/x
  3. Step 3: Cross multiply
    2,298.93x = 3,445.99 × 1,065.32
  4. Step 4: Simplify right side
    2,298.93x = 3,671,081.09
  5. Step 5: Solve for x
    x = 3,671,081.09/2,298.93
  6. Step 6: Final answer
    x = 1,596.87

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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.