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Finding the Fourth Proportional to 1,346.17, 1,855.15 and 972.46

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Solution

The fourth proportional to 1,346.17, 1,855.15 and 972.46 is: 1,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.17 : 1,855.15 = 972.46 : x
  2. Step 2: Convert to fraction form
    1,346.17/1,855.15 = 972.46/x
  3. Step 3: Cross multiply
    1,346.17x = 1,855.15 × 972.46
  4. Step 4: Simplify right side
    1,346.17x = 1,804,059.17
  5. Step 5: Solve for x
    x = 1,804,059.17/1,346.17
  6. Step 6: Final answer
    x = 1,340.14

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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.