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Finding the Fourth Proportional to 2,455.32, 3,683.20 and 700.34

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Solution

The fourth proportional to 2,455.32, 3,683.20 and 700.34 is: 1,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.32 : 3,683.20 = 700.34 : x
  2. Step 2: Convert to fraction form
    2,455.32/3,683.20 = 700.34/x
  3. Step 3: Cross multiply
    2,455.32x = 3,683.20 × 700.34
  4. Step 4: Simplify right side
    2,455.32x = 2,579,492.29
  5. Step 5: Solve for x
    x = 2,579,492.29/2,455.32
  6. Step 6: Final answer
    x = 1,050.57

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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.