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Finding the Fourth Proportional to 1,595.86, 2,394.24 and 670.93

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Solution

The fourth proportional to 1,595.86, 2,394.24 and 670.93 is: 1,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.86 : 2,394.24 = 670.93 : x
  2. Step 2: Convert to fraction form
    1,595.86/2,394.24 = 670.93/x
  3. Step 3: Cross multiply
    1,595.86x = 2,394.24 × 670.93
  4. Step 4: Simplify right side
    1,595.86x = 1,606,367.44
  5. Step 5: Solve for x
    x = 1,606,367.44/1,595.86
  6. Step 6: Final answer
    x = 1,006.58

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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.