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Finding the Fourth Proportional to 2,059.70, 2,823.09 and 2,045.30

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Solution

The fourth proportional to 2,059.70, 2,823.09 and 2,045.30 is: 2,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.70 : 2,823.09 = 2,045.30 : x
  2. Step 2: Convert to fraction form
    2,059.70/2,823.09 = 2,045.30/x
  3. Step 3: Cross multiply
    2,059.70x = 2,823.09 × 2,045.30
  4. Step 4: Simplify right side
    2,059.70x = 5,774,055.75
  5. Step 5: Solve for x
    x = 5,774,055.75/2,059.70
  6. Step 6: Final answer
    x = 2,803.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.