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Finding the Fourth Proportional to 1,946.78, 2,918.80 and 972.20

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Solution

The fourth proportional to 1,946.78, 2,918.80 and 972.20 is: 1,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.78 : 2,918.80 = 972.20 : x
  2. Step 2: Convert to fraction form
    1,946.78/2,918.80 = 972.20/x
  3. Step 3: Cross multiply
    1,946.78x = 2,918.80 × 972.20
  4. Step 4: Simplify right side
    1,946.78x = 2,837,657.36
  5. Step 5: Solve for x
    x = 2,837,657.36/1,946.78
  6. Step 6: Final answer
    x = 1,457.62

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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.