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Finding the Fourth Proportional to 1,775.79, 2,659.58 and 1,714.28

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Solution

The fourth proportional to 1,775.79, 2,659.58 and 1,714.28 is: 2,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.79 : 2,659.58 = 1,714.28 : x
  2. Step 2: Convert to fraction form
    1,775.79/2,659.58 = 1,714.28/x
  3. Step 3: Cross multiply
    1,775.79x = 2,659.58 × 1,714.28
  4. Step 4: Simplify right side
    1,775.79x = 4,559,264.80
  5. Step 5: Solve for x
    x = 4,559,264.80/1,775.79
  6. Step 6: Final answer
    x = 2,567.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.