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Finding the Fourth Proportional to 3,368.34, 4,646.03 and 1,971.09

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Solution

The fourth proportional to 3,368.34, 4,646.03 and 1,971.09 is: 2,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.34 : 4,646.03 = 1,971.09 : x
  2. Step 2: Convert to fraction form
    3,368.34/4,646.03 = 1,971.09/x
  3. Step 3: Cross multiply
    3,368.34x = 4,646.03 × 1,971.09
  4. Step 4: Simplify right side
    3,368.34x = 9,157,733.42
  5. Step 5: Solve for x
    x = 9,157,733.42/3,368.34
  6. Step 6: Final answer
    x = 2,718.77

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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.