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Finding the Fourth Proportional to 2,407.76, 3,615.10 and 1,485.14

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Solution

The fourth proportional to 2,407.76, 3,615.10 and 1,485.14 is: 2,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.76 : 3,615.10 = 1,485.14 : x
  2. Step 2: Convert to fraction form
    2,407.76/3,615.10 = 1,485.14/x
  3. Step 3: Cross multiply
    2,407.76x = 3,615.10 × 1,485.14
  4. Step 4: Simplify right side
    2,407.76x = 5,368,907.83
  5. Step 5: Solve for x
    x = 5,368,907.83/2,407.76
  6. Step 6: Final answer
    x = 2,229.84

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1.5x scale

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.