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Finding the Fourth Proportional to 2,969.35, 4,455.30 and 1,410.45

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Solution

The fourth proportional to 2,969.35, 4,455.30 and 1,410.45 is: 2,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.35 : 4,455.30 = 1,410.45 : x
  2. Step 2: Convert to fraction form
    2,969.35/4,455.30 = 1,410.45/x
  3. Step 3: Cross multiply
    2,969.35x = 4,455.30 × 1,410.45
  4. Step 4: Simplify right side
    2,969.35x = 6,283,966.47
  5. Step 5: Solve for x
    x = 6,283,966.47/2,969.35
  6. Step 6: Final answer
    x = 2,116.28

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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.