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Finding the Fourth Proportional to 2,405, 3,319.51 and 1,357.67

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Solution

The fourth proportional to 2,405, 3,319.51 and 1,357.67 is: 1,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 3,319.51 = 1,357.67 : x
  2. Step 2: Convert to fraction form
    2,405/3,319.51 = 1,357.67/x
  3. Step 3: Cross multiply
    2,405x = 3,319.51 × 1,357.67
  4. Step 4: Simplify right side
    2,405x = 4,506,799.14
  5. Step 5: Solve for x
    x = 4,506,799.14/2,405
  6. Step 6: Final answer
    x = 1,873.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.