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Finding the Fourth Proportional to 2,290.50, 3,160.08 and 1,405.38

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Solution

The fourth proportional to 2,290.50, 3,160.08 and 1,405.38 is: 1,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.50 : 3,160.08 = 1,405.38 : x
  2. Step 2: Convert to fraction form
    2,290.50/3,160.08 = 1,405.38/x
  3. Step 3: Cross multiply
    2,290.50x = 3,160.08 × 1,405.38
  4. Step 4: Simplify right side
    2,290.50x = 4,441,113.23
  5. Step 5: Solve for x
    x = 4,441,113.23/2,290.50
  6. Step 6: Final answer
    x = 1,938.93

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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.