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Finding the Fourth Proportional to 1,689.94, 2,332.02 and 981.74

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Solution

The fourth proportional to 1,689.94, 2,332.02 and 981.74 is: 1,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.94 : 2,332.02 = 981.74 : x
  2. Step 2: Convert to fraction form
    1,689.94/2,332.02 = 981.74/x
  3. Step 3: Cross multiply
    1,689.94x = 2,332.02 × 981.74
  4. Step 4: Simplify right side
    1,689.94x = 2,289,437.31
  5. Step 5: Solve for x
    x = 2,289,437.31/1,689.94
  6. Step 6: Final answer
    x = 1,354.74

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Why These Related Problems?

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