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Finding the Fourth Proportional to 3,064, 4,590.20 and 1,810.85

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Solution

The fourth proportional to 3,064, 4,590.20 and 1,810.85 is: 2,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064 : 4,590.20 = 1,810.85 : x
  2. Step 2: Convert to fraction form
    3,064/4,590.20 = 1,810.85/x
  3. Step 3: Cross multiply
    3,064x = 4,590.20 × 1,810.85
  4. Step 4: Simplify right side
    3,064x = 8,312,131.66
  5. Step 5: Solve for x
    x = 8,312,131.66/3,064
  6. Step 6: Final answer
    x = 2,712.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.