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Finding the Fourth Proportional to 4,461.79, 6,692.76 and 1,174.76

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Solution

The fourth proportional to 4,461.79, 6,692.76 and 1,174.76 is: 1,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.79 : 6,692.76 = 1,174.76 : x
  2. Step 2: Convert to fraction form
    4,461.79/6,692.76 = 1,174.76/x
  3. Step 3: Cross multiply
    4,461.79x = 6,692.76 × 1,174.76
  4. Step 4: Simplify right side
    4,461.79x = 7,862,386.74
  5. Step 5: Solve for x
    x = 7,862,386.74/4,461.79
  6. Step 6: Final answer
    x = 1,762.16

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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.