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Finding the Fourth Proportional to 2,565, 3,844.80 and 1,832.40

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Solution

The fourth proportional to 2,565, 3,844.80 and 1,832.40 is: 2,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565 : 3,844.80 = 1,832.40 : x
  2. Step 2: Convert to fraction form
    2,565/3,844.80 = 1,832.40/x
  3. Step 3: Cross multiply
    2,565x = 3,844.80 × 1,832.40
  4. Step 4: Simplify right side
    2,565x = 7,045,211.52
  5. Step 5: Solve for x
    x = 7,045,211.52/2,565
  6. Step 6: Final answer
    x = 2,746.67

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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.