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Finding the Fourth Proportional to 1,772.14, 2,658.16 and 848.35

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Solution

The fourth proportional to 1,772.14, 2,658.16 and 848.35 is: 1,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.14 : 2,658.16 = 848.35 : x
  2. Step 2: Convert to fraction form
    1,772.14/2,658.16 = 848.35/x
  3. Step 3: Cross multiply
    1,772.14x = 2,658.16 × 848.35
  4. Step 4: Simplify right side
    1,772.14x = 2,255,050.04
  5. Step 5: Solve for x
    x = 2,255,050.04/1,772.14
  6. Step 6: Final answer
    x = 1,272.50

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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.