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Finding the Fourth Proportional to 2,358.46, 3,534.81 and 2,070.46

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Solution

The fourth proportional to 2,358.46, 3,534.81 and 2,070.46 is: 3,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.46 : 3,534.81 = 2,070.46 : x
  2. Step 2: Convert to fraction form
    2,358.46/3,534.81 = 2,070.46/x
  3. Step 3: Cross multiply
    2,358.46x = 3,534.81 × 2,070.46
  4. Step 4: Simplify right side
    2,358.46x = 7,318,682.71
  5. Step 5: Solve for x
    x = 7,318,682.71/2,358.46
  6. Step 6: Final answer
    x = 3,103.16

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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.