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Finding the Fourth Proportional to 1,884.30, 2,824.74 and 714.08

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Solution

The fourth proportional to 1,884.30, 2,824.74 and 714.08 is: 1,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.30 : 2,824.74 = 714.08 : x
  2. Step 2: Convert to fraction form
    1,884.30/2,824.74 = 714.08/x
  3. Step 3: Cross multiply
    1,884.30x = 2,824.74 × 714.08
  4. Step 4: Simplify right side
    1,884.30x = 2,017,090.34
  5. Step 5: Solve for x
    x = 2,017,090.34/1,884.30
  6. Step 6: Final answer
    x = 1,070.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.