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Finding the Fourth Proportional to 1,654.40, 2,281.04 and 1,064

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Solution

The fourth proportional to 1,654.40, 2,281.04 and 1,064 is: 1,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.40 : 2,281.04 = 1,064 : x
  2. Step 2: Convert to fraction form
    1,654.40/2,281.04 = 1,064/x
  3. Step 3: Cross multiply
    1,654.40x = 2,281.04 × 1,064
  4. Step 4: Simplify right side
    1,654.40x = 2,427,026.56
  5. Step 5: Solve for x
    x = 2,427,026.56/1,654.40
  6. Step 6: Final answer
    x = 1,467.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.