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Finding the Fourth Proportional to 2,358.95, 3,253.72 and 1,364.07

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Solution

The fourth proportional to 2,358.95, 3,253.72 and 1,364.07 is: 1,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.95 : 3,253.72 = 1,364.07 : x
  2. Step 2: Convert to fraction form
    2,358.95/3,253.72 = 1,364.07/x
  3. Step 3: Cross multiply
    2,358.95x = 3,253.72 × 1,364.07
  4. Step 4: Simplify right side
    2,358.95x = 4,438,295.02
  5. Step 5: Solve for x
    x = 4,438,295.02/2,358.95
  6. Step 6: Final answer
    x = 1,881.47

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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.