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Finding the Fourth Proportional to 1,857.84, 2,564.05 and 1,071.89

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Solution

The fourth proportional to 1,857.84, 2,564.05 and 1,071.89 is: 1,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.84 : 2,564.05 = 1,071.89 : x
  2. Step 2: Convert to fraction form
    1,857.84/2,564.05 = 1,071.89/x
  3. Step 3: Cross multiply
    1,857.84x = 2,564.05 × 1,071.89
  4. Step 4: Simplify right side
    1,857.84x = 2,748,379.55
  5. Step 5: Solve for x
    x = 2,748,379.55/1,857.84
  6. Step 6: Final answer
    x = 1,479.34

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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.