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Finding the Fourth Proportional to 2,385.58, 3,291.51 and 1,428.80

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Solution

The fourth proportional to 2,385.58, 3,291.51 and 1,428.80 is: 1,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.58 : 3,291.51 = 1,428.80 : x
  2. Step 2: Convert to fraction form
    2,385.58/3,291.51 = 1,428.80/x
  3. Step 3: Cross multiply
    2,385.58x = 3,291.51 × 1,428.80
  4. Step 4: Simplify right side
    2,385.58x = 4,702,904.85
  5. Step 5: Solve for x
    x = 4,702,904.85/2,385.58
  6. Step 6: Final answer
    x = 1,971.39

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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.