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Finding the Fourth Proportional to 2,034.13, 2,807.10 and 1,102.63

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Solution

The fourth proportional to 2,034.13, 2,807.10 and 1,102.63 is: 1,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.13 : 2,807.10 = 1,102.63 : x
  2. Step 2: Convert to fraction form
    2,034.13/2,807.10 = 1,102.63/x
  3. Step 3: Cross multiply
    2,034.13x = 2,807.10 × 1,102.63
  4. Step 4: Simplify right side
    2,034.13x = 3,095,192.67
  5. Step 5: Solve for x
    x = 3,095,192.67/2,034.13
  6. Step 6: Final answer
    x = 1,521.63

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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.