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Finding the Fourth Proportional to 2,071.66, 2,855.64 and 1,407.34

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Solution

The fourth proportional to 2,071.66, 2,855.64 and 1,407.34 is: 1,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.66 : 2,855.64 = 1,407.34 : x
  2. Step 2: Convert to fraction form
    2,071.66/2,855.64 = 1,407.34/x
  3. Step 3: Cross multiply
    2,071.66x = 2,855.64 × 1,407.34
  4. Step 4: Simplify right side
    2,071.66x = 4,018,856.40
  5. Step 5: Solve for x
    x = 4,018,856.40/2,071.66
  6. Step 6: Final answer
    x = 1,939.92

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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.