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Finding the Fourth Proportional to 1,797.69, 2,477.69 and 1,543.76

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Solution

The fourth proportional to 1,797.69, 2,477.69 and 1,543.76 is: 2,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.69 : 2,477.69 = 1,543.76 : x
  2. Step 2: Convert to fraction form
    1,797.69/2,477.69 = 1,543.76/x
  3. Step 3: Cross multiply
    1,797.69x = 2,477.69 × 1,543.76
  4. Step 4: Simplify right side
    1,797.69x = 3,824,953.69
  5. Step 5: Solve for x
    x = 3,824,953.69/1,797.69
  6. Step 6: Final answer
    x = 2,127.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.