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Finding the Fourth Proportional to 1,946.94, 2,920.86 and 560.29

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Solution

The fourth proportional to 1,946.94, 2,920.86 and 560.29 is: 840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.94 : 2,920.86 = 560.29 : x
  2. Step 2: Convert to fraction form
    1,946.94/2,920.86 = 560.29/x
  3. Step 3: Cross multiply
    1,946.94x = 2,920.86 × 560.29
  4. Step 4: Simplify right side
    1,946.94x = 1,636,528.65
  5. Step 5: Solve for x
    x = 1,636,528.65/1,946.94
  6. Step 6: Final answer
    x = 840.56

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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.