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Finding the Fourth Proportional to 1,835.06, 2,532.36 and 995.76

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Solution

The fourth proportional to 1,835.06, 2,532.36 and 995.76 is: 1,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.06 : 2,532.36 = 995.76 : x
  2. Step 2: Convert to fraction form
    1,835.06/2,532.36 = 995.76/x
  3. Step 3: Cross multiply
    1,835.06x = 2,532.36 × 995.76
  4. Step 4: Simplify right side
    1,835.06x = 2,521,622.79
  5. Step 5: Solve for x
    x = 2,521,622.79/1,835.06
  6. Step 6: Final answer
    x = 1,374.14

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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.