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Finding the Fourth Proportional to 1,764.55, 2,435.16 and 1,008.40

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Solution

The fourth proportional to 1,764.55, 2,435.16 and 1,008.40 is: 1,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.55 : 2,435.16 = 1,008.40 : x
  2. Step 2: Convert to fraction form
    1,764.55/2,435.16 = 1,008.40/x
  3. Step 3: Cross multiply
    1,764.55x = 2,435.16 × 1,008.40
  4. Step 4: Simplify right side
    1,764.55x = 2,455,615.34
  5. Step 5: Solve for x
    x = 2,455,615.34/1,764.55
  6. Step 6: Final answer
    x = 1,391.64

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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.