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Finding the Fourth Proportional to 1,946.79, 2,919.87 and 560.07

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Solution

The fourth proportional to 1,946.79, 2,919.87 and 560.07 is: 840.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.79 : 2,919.87 = 560.07 : x
  2. Step 2: Convert to fraction form
    1,946.79/2,919.87 = 560.07/x
  3. Step 3: Cross multiply
    1,946.79x = 2,919.87 × 560.07
  4. Step 4: Simplify right side
    1,946.79x = 1,635,331.59
  5. Step 5: Solve for x
    x = 1,635,331.59/1,946.79
  6. Step 6: Final answer
    x = 840.01

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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.