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Finding the Fourth Proportional to 1,595.37, 2,393.96 and 865.45

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Solution

The fourth proportional to 1,595.37, 2,393.96 and 865.45 is: 1,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.37 : 2,393.96 = 865.45 : x
  2. Step 2: Convert to fraction form
    1,595.37/2,393.96 = 865.45/x
  3. Step 3: Cross multiply
    1,595.37x = 2,393.96 × 865.45
  4. Step 4: Simplify right side
    1,595.37x = 2,071,852.68
  5. Step 5: Solve for x
    x = 2,071,852.68/1,595.37
  6. Step 6: Final answer
    x = 1,298.67

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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.