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Finding the Fourth Proportional to 1,969.02, 2,714.57 and 1,547.75

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Solution

The fourth proportional to 1,969.02, 2,714.57 and 1,547.75 is: 2,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.02 : 2,714.57 = 1,547.75 : x
  2. Step 2: Convert to fraction form
    1,969.02/2,714.57 = 1,547.75/x
  3. Step 3: Cross multiply
    1,969.02x = 2,714.57 × 1,547.75
  4. Step 4: Simplify right side
    1,969.02x = 4,201,475.72
  5. Step 5: Solve for x
    x = 4,201,475.72/1,969.02
  6. Step 6: Final answer
    x = 2,133.79

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