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Finding the Fourth Proportional to 2,470.34, 3,699.02 and 1,735.94

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Solution

The fourth proportional to 2,470.34, 3,699.02 and 1,735.94 is: 2,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.34 : 3,699.02 = 1,735.94 : x
  2. Step 2: Convert to fraction form
    2,470.34/3,699.02 = 1,735.94/x
  3. Step 3: Cross multiply
    2,470.34x = 3,699.02 × 1,735.94
  4. Step 4: Simplify right side
    2,470.34x = 6,421,276.78
  5. Step 5: Solve for x
    x = 6,421,276.78/2,470.34
  6. Step 6: Final answer
    x = 2,599.35

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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.