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Finding the Fourth Proportional to 3,307.34, 4,564.19 and 1,815.40

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Solution

The fourth proportional to 3,307.34, 4,564.19 and 1,815.40 is: 2,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.34 : 4,564.19 = 1,815.40 : x
  2. Step 2: Convert to fraction form
    3,307.34/4,564.19 = 1,815.40/x
  3. Step 3: Cross multiply
    3,307.34x = 4,564.19 × 1,815.40
  4. Step 4: Simplify right side
    3,307.34x = 8,285,823.65
  5. Step 5: Solve for x
    x = 8,285,823.65/3,307.34
  6. Step 6: Final answer
    x = 2,505.28

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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.