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Finding the Fourth Proportional to 2,570.31, 3,547.05 and 1,507.80

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Solution

The fourth proportional to 2,570.31, 3,547.05 and 1,507.80 is: 2,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.31 : 3,547.05 = 1,507.80 : x
  2. Step 2: Convert to fraction form
    2,570.31/3,547.05 = 1,507.80/x
  3. Step 3: Cross multiply
    2,570.31x = 3,547.05 × 1,507.80
  4. Step 4: Simplify right side
    2,570.31x = 5,348,241.99
  5. Step 5: Solve for x
    x = 5,348,241.99/2,570.31
  6. Step 6: Final answer
    x = 2,080.78

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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.