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Finding the Fourth Proportional to 2,455.37, 3,683.06 and 700.15

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Solution

The fourth proportional to 2,455.37, 3,683.06 and 700.15 is: 1,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.37 : 3,683.06 = 700.15 : x
  2. Step 2: Convert to fraction form
    2,455.37/3,683.06 = 700.15/x
  3. Step 3: Cross multiply
    2,455.37x = 3,683.06 × 700.15
  4. Step 4: Simplify right side
    2,455.37x = 2,578,684.38
  5. Step 5: Solve for x
    x = 2,578,684.38/2,455.37
  6. Step 6: Final answer
    x = 1,050.22

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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.