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Finding the Fourth Proportional to 1,740.07, 2,610.10 and 570.02

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Solution

The fourth proportional to 1,740.07, 2,610.10 and 570.02 is: 855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.07 : 2,610.10 = 570.02 : x
  2. Step 2: Convert to fraction form
    1,740.07/2,610.10 = 570.02/x
  3. Step 3: Cross multiply
    1,740.07x = 2,610.10 × 570.02
  4. Step 4: Simplify right side
    1,740.07x = 1,487,809.20
  5. Step 5: Solve for x
    x = 1,487,809.20/1,740.07
  6. Step 6: Final answer
    x = 855.03

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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.