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Finding the Fourth Proportional to 1,975.38, 2,726.10 and 1,477.14

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Solution

The fourth proportional to 1,975.38, 2,726.10 and 1,477.14 is: 2,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.38 : 2,726.10 = 1,477.14 : x
  2. Step 2: Convert to fraction form
    1,975.38/2,726.10 = 1,477.14/x
  3. Step 3: Cross multiply
    1,975.38x = 2,726.10 × 1,477.14
  4. Step 4: Simplify right side
    1,975.38x = 4,026,831.35
  5. Step 5: Solve for x
    x = 4,026,831.35/1,975.38
  6. Step 6: Final answer
    x = 2,038.51

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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.