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Finding the Fourth Proportional to 2,570.31, 3,852.54 and 1,597.08

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Solution

The fourth proportional to 2,570.31, 3,852.54 and 1,597.08 is: 2,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.31 : 3,852.54 = 1,597.08 : x
  2. Step 2: Convert to fraction form
    2,570.31/3,852.54 = 1,597.08/x
  3. Step 3: Cross multiply
    2,570.31x = 3,852.54 × 1,597.08
  4. Step 4: Simplify right side
    2,570.31x = 6,152,814.58
  5. Step 5: Solve for x
    x = 6,152,814.58/2,570.31
  6. Step 6: Final answer
    x = 2,393.80

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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.