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Finding the Fourth Proportional to 2,340.68, 3,510.47 and 697.07

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Solution

The fourth proportional to 2,340.68, 3,510.47 and 697.07 is: 1,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.68 : 3,510.47 = 697.07 : x
  2. Step 2: Convert to fraction form
    2,340.68/3,510.47 = 697.07/x
  3. Step 3: Cross multiply
    2,340.68x = 3,510.47 × 697.07
  4. Step 4: Simplify right side
    2,340.68x = 2,447,053.84
  5. Step 5: Solve for x
    x = 2,447,053.84/2,340.68
  6. Step 6: Final answer
    x = 1,045.45

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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.