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Finding the Fourth Proportional to 1,714.64, 2,376.16 and 1,681.82

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Solution

The fourth proportional to 1,714.64, 2,376.16 and 1,681.82 is: 2,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.64 : 2,376.16 = 1,681.82 : x
  2. Step 2: Convert to fraction form
    1,714.64/2,376.16 = 1,681.82/x
  3. Step 3: Cross multiply
    1,714.64x = 2,376.16 × 1,681.82
  4. Step 4: Simplify right side
    1,714.64x = 3,996,265.00
  5. Step 5: Solve for x
    x = 3,996,265.00/1,714.64
  6. Step 6: Final answer
    x = 2,330.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.