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Finding the Fourth Proportional to 3,155.85, 4,355.10 and 1,830.35

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Solution

The fourth proportional to 3,155.85, 4,355.10 and 1,830.35 is: 2,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.85 : 4,355.10 = 1,830.35 : x
  2. Step 2: Convert to fraction form
    3,155.85/4,355.10 = 1,830.35/x
  3. Step 3: Cross multiply
    3,155.85x = 4,355.10 × 1,830.35
  4. Step 4: Simplify right side
    3,155.85x = 7,971,326.36
  5. Step 5: Solve for x
    x = 7,971,326.36/3,155.85
  6. Step 6: Final answer
    x = 2,525.89

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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.