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Finding the Fourth Proportional to 2,972.48, 4,101.08 and 1,730.24

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Solution

The fourth proportional to 2,972.48, 4,101.08 and 1,730.24 is: 2,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.48 : 4,101.08 = 1,730.24 : x
  2. Step 2: Convert to fraction form
    2,972.48/4,101.08 = 1,730.24/x
  3. Step 3: Cross multiply
    2,972.48x = 4,101.08 × 1,730.24
  4. Step 4: Simplify right side
    2,972.48x = 7,095,852.66
  5. Step 5: Solve for x
    x = 7,095,852.66/2,972.48
  6. Step 6: Final answer
    x = 2,387.18

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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.