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Finding the Fourth Proportional to 3,097.47, 4,646.40 and 906

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Solution

The fourth proportional to 3,097.47, 4,646.40 and 906 is: 1,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.47 : 4,646.40 = 906 : x
  2. Step 2: Convert to fraction form
    3,097.47/4,646.40 = 906/x
  3. Step 3: Cross multiply
    3,097.47x = 4,646.40 × 906
  4. Step 4: Simplify right side
    3,097.47x = 4,209,638.40
  5. Step 5: Solve for x
    x = 4,209,638.40/3,097.47
  6. Step 6: Final answer
    x = 1,359.06

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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.