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Finding the Fourth Proportional to 2,357.90, 3,254.32 and 1,363.02

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Solution

The fourth proportional to 2,357.90, 3,254.32 and 1,363.02 is: 1,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.90 : 3,254.32 = 1,363.02 : x
  2. Step 2: Convert to fraction form
    2,357.90/3,254.32 = 1,363.02/x
  3. Step 3: Cross multiply
    2,357.90x = 3,254.32 × 1,363.02
  4. Step 4: Simplify right side
    2,357.90x = 4,435,703.25
  5. Step 5: Solve for x
    x = 4,435,703.25/2,357.90
  6. Step 6: Final answer
    x = 1,881.21

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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.