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Finding the Fourth Proportional to 2,050.34, 2,829.04 and 1,210.61

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Solution

The fourth proportional to 2,050.34, 2,829.04 and 1,210.61 is: 1,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.34 : 2,829.04 = 1,210.61 : x
  2. Step 2: Convert to fraction form
    2,050.34/2,829.04 = 1,210.61/x
  3. Step 3: Cross multiply
    2,050.34x = 2,829.04 × 1,210.61
  4. Step 4: Simplify right side
    2,050.34x = 3,424,868.16
  5. Step 5: Solve for x
    x = 3,424,868.16/2,050.34
  6. Step 6: Final answer
    x = 1,670.39

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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.