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Finding the Fourth Proportional to 1,740.34, 2,609.95 and 570.02

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Solution

The fourth proportional to 1,740.34, 2,609.95 and 570.02 is: 854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.34 : 2,609.95 = 570.02 : x
  2. Step 2: Convert to fraction form
    1,740.34/2,609.95 = 570.02/x
  3. Step 3: Cross multiply
    1,740.34x = 2,609.95 × 570.02
  4. Step 4: Simplify right side
    1,740.34x = 1,487,730.22
  5. Step 5: Solve for x
    x = 1,487,730.22/1,740.34
  6. Step 6: Final answer
    x = 854.85

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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.