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Finding the Fourth Proportional to 1,670.78, 2,307.39 and 1,410.86

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Solution

The fourth proportional to 1,670.78, 2,307.39 and 1,410.86 is: 1,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.78 : 2,307.39 = 1,410.86 : x
  2. Step 2: Convert to fraction form
    1,670.78/2,307.39 = 1,410.86/x
  3. Step 3: Cross multiply
    1,670.78x = 2,307.39 × 1,410.86
  4. Step 4: Simplify right side
    1,670.78x = 3,255,404.26
  5. Step 5: Solve for x
    x = 3,255,404.26/1,670.78
  6. Step 6: Final answer
    x = 1,948.43

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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.