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Finding the Fourth Proportional to 1,675.68, 2,514 and 1,370.46

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Solution

The fourth proportional to 1,675.68, 2,514 and 1,370.46 is: 2,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.68 : 2,514 = 1,370.46 : x
  2. Step 2: Convert to fraction form
    1,675.68/2,514 = 1,370.46/x
  3. Step 3: Cross multiply
    1,675.68x = 2,514 × 1,370.46
  4. Step 4: Simplify right side
    1,675.68x = 3,445,336.44
  5. Step 5: Solve for x
    x = 3,445,336.44/1,675.68
  6. Step 6: Final answer
    x = 2,056.08

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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.