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Finding the Fourth Proportional to 3,461.76, 4,777.56 and 1,970.04

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Solution

The fourth proportional to 3,461.76, 4,777.56 and 1,970.04 is: 2,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.76 : 4,777.56 = 1,970.04 : x
  2. Step 2: Convert to fraction form
    3,461.76/4,777.56 = 1,970.04/x
  3. Step 3: Cross multiply
    3,461.76x = 4,777.56 × 1,970.04
  4. Step 4: Simplify right side
    3,461.76x = 9,411,984.30
  5. Step 5: Solve for x
    x = 9,411,984.30/3,461.76
  6. Step 6: Final answer
    x = 2,718.84

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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.