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Finding the Fourth Proportional to 2,293.77, 3,165.30 and 1,298.99

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Solution

The fourth proportional to 2,293.77, 3,165.30 and 1,298.99 is: 1,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.77 : 3,165.30 = 1,298.99 : x
  2. Step 2: Convert to fraction form
    2,293.77/3,165.30 = 1,298.99/x
  3. Step 3: Cross multiply
    2,293.77x = 3,165.30 × 1,298.99
  4. Step 4: Simplify right side
    2,293.77x = 4,111,686.81
  5. Step 5: Solve for x
    x = 4,111,686.81/2,293.77
  6. Step 6: Final answer
    x = 1,792.55

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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.