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Finding the Fourth Proportional to 2,341.07, 3,510.58 and 697.71

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Solution

The fourth proportional to 2,341.07, 3,510.58 and 697.71 is: 1,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.07 : 3,510.58 = 697.71 : x
  2. Step 2: Convert to fraction form
    2,341.07/3,510.58 = 697.71/x
  3. Step 3: Cross multiply
    2,341.07x = 3,510.58 × 697.71
  4. Step 4: Simplify right side
    2,341.07x = 2,449,366.77
  5. Step 5: Solve for x
    x = 2,449,366.77/2,341.07
  6. Step 6: Final answer
    x = 1,046.26

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1.5x scale

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.