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Finding the Fourth Proportional to 4,461.72, 6,692.60 and 1,830.66

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Solution

The fourth proportional to 4,461.72, 6,692.60 and 1,830.66 is: 2,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.72 : 6,692.60 = 1,830.66 : x
  2. Step 2: Convert to fraction form
    4,461.72/6,692.60 = 1,830.66/x
  3. Step 3: Cross multiply
    4,461.72x = 6,692.60 × 1,830.66
  4. Step 4: Simplify right side
    4,461.72x = 12,251,875.12
  5. Step 5: Solve for x
    x = 12,251,875.12/4,461.72
  6. Step 6: Final answer
    x = 2,746.00

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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.