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Finding the Fourth Proportional to 1,957.83, 2,926.16 and 1,802.16

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Solution

The fourth proportional to 1,957.83, 2,926.16 and 1,802.16 is: 2,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.83 : 2,926.16 = 1,802.16 : x
  2. Step 2: Convert to fraction form
    1,957.83/2,926.16 = 1,802.16/x
  3. Step 3: Cross multiply
    1,957.83x = 2,926.16 × 1,802.16
  4. Step 4: Simplify right side
    1,957.83x = 5,273,399.49
  5. Step 5: Solve for x
    x = 5,273,399.49/1,957.83
  6. Step 6: Final answer
    x = 2,693.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.