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Finding the Fourth Proportional to 1,658.84, 2,289.36 and 912.94

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Solution

The fourth proportional to 1,658.84, 2,289.36 and 912.94 is: 1,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.84 : 2,289.36 = 912.94 : x
  2. Step 2: Convert to fraction form
    1,658.84/2,289.36 = 912.94/x
  3. Step 3: Cross multiply
    1,658.84x = 2,289.36 × 912.94
  4. Step 4: Simplify right side
    1,658.84x = 2,090,048.32
  5. Step 5: Solve for x
    x = 2,090,048.32/1,658.84
  6. Step 6: Final answer
    x = 1,259.95

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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.