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Finding the Fourth Proportional to 2,565.63, 3,848.46 and 716.76

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Solution

The fourth proportional to 2,565.63, 3,848.46 and 716.76 is: 1,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.63 : 3,848.46 = 716.76 : x
  2. Step 2: Convert to fraction form
    2,565.63/3,848.46 = 716.76/x
  3. Step 3: Cross multiply
    2,565.63x = 3,848.46 × 716.76
  4. Step 4: Simplify right side
    2,565.63x = 2,758,419.50
  5. Step 5: Solve for x
    x = 2,758,419.50/2,565.63
  6. Step 6: Final answer
    x = 1,075.14

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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.