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Finding the Fourth Proportional to 1,823.58, 2,720.50 and 1,773.36

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Solution

The fourth proportional to 1,823.58, 2,720.50 and 1,773.36 is: 2,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.58 : 2,720.50 = 1,773.36 : x
  2. Step 2: Convert to fraction form
    1,823.58/2,720.50 = 1,773.36/x
  3. Step 3: Cross multiply
    1,823.58x = 2,720.50 × 1,773.36
  4. Step 4: Simplify right side
    1,823.58x = 4,824,421.45
  5. Step 5: Solve for x
    x = 4,824,421.45/1,823.58
  6. Step 6: Final answer
    x = 2,645.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.