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Finding the Fourth Proportional to 3,346, 4,617.48 and 1,854.02

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Solution

The fourth proportional to 3,346, 4,617.48 and 1,854.02 is: 2,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346 : 4,617.48 = 1,854.02 : x
  2. Step 2: Convert to fraction form
    3,346/4,617.48 = 1,854.02/x
  3. Step 3: Cross multiply
    3,346x = 4,617.48 × 1,854.02
  4. Step 4: Simplify right side
    3,346x = 8,560,900.27
  5. Step 5: Solve for x
    x = 8,560,900.27/3,346
  6. Step 6: Final answer
    x = 2,558.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.