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Finding the Fourth Proportional to 3,005.34, 4,507.97 and 1,032.35

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Solution

The fourth proportional to 3,005.34, 4,507.97 and 1,032.35 is: 1,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.34 : 4,507.97 = 1,032.35 : x
  2. Step 2: Convert to fraction form
    3,005.34/4,507.97 = 1,032.35/x
  3. Step 3: Cross multiply
    3,005.34x = 4,507.97 × 1,032.35
  4. Step 4: Simplify right side
    3,005.34x = 4,653,775.13
  5. Step 5: Solve for x
    x = 4,653,775.13/3,005.34
  6. Step 6: Final answer
    x = 1,548.50

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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.