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Finding the Fourth Proportional to 2,347.12, 3,516.64 and 1,252

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Solution

The fourth proportional to 2,347.12, 3,516.64 and 1,252 is: 1,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.12 : 3,516.64 = 1,252 : x
  2. Step 2: Convert to fraction form
    2,347.12/3,516.64 = 1,252/x
  3. Step 3: Cross multiply
    2,347.12x = 3,516.64 × 1,252
  4. Step 4: Simplify right side
    2,347.12x = 4,402,833.28
  5. Step 5: Solve for x
    x = 4,402,833.28/2,347.12
  6. Step 6: Final answer
    x = 1,875.84

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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.