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Finding the Fourth Proportional to 1,655.65, 2,483.81 and 1,346.74

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Solution

The fourth proportional to 1,655.65, 2,483.81 and 1,346.74 is: 2,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.65 : 2,483.81 = 1,346.74 : x
  2. Step 2: Convert to fraction form
    1,655.65/2,483.81 = 1,346.74/x
  3. Step 3: Cross multiply
    1,655.65x = 2,483.81 × 1,346.74
  4. Step 4: Simplify right side
    1,655.65x = 3,345,046.28
  5. Step 5: Solve for x
    x = 3,345,046.28/1,655.65
  6. Step 6: Final answer
    x = 2,020.38

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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.