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Finding the Fourth Proportional to 1,640.79, 2,461.05 and 947.03

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Solution

The fourth proportional to 1,640.79, 2,461.05 and 947.03 is: 1,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.79 : 2,461.05 = 947.03 : x
  2. Step 2: Convert to fraction form
    1,640.79/2,461.05 = 947.03/x
  3. Step 3: Cross multiply
    1,640.79x = 2,461.05 × 947.03
  4. Step 4: Simplify right side
    1,640.79x = 2,330,675.88
  5. Step 5: Solve for x
    x = 2,330,675.88/1,640.79
  6. Step 6: Final answer
    x = 1,420.46

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Why These Related Problems?

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