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Finding the Fourth Proportional to 1,646.66, 2,271.34 and 983

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Solution

The fourth proportional to 1,646.66, 2,271.34 and 983 is: 1,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.66 : 2,271.34 = 983 : x
  2. Step 2: Convert to fraction form
    1,646.66/2,271.34 = 983/x
  3. Step 3: Cross multiply
    1,646.66x = 2,271.34 × 983
  4. Step 4: Simplify right side
    1,646.66x = 2,232,727.22
  5. Step 5: Solve for x
    x = 2,232,727.22/1,646.66
  6. Step 6: Final answer
    x = 1,355.91

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1.5x scale

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.