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Finding the Fourth Proportional to 2,012.58, 3,017.54 and 970.52

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Solution

The fourth proportional to 2,012.58, 3,017.54 and 970.52 is: 1,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.58 : 3,017.54 = 970.52 : x
  2. Step 2: Convert to fraction form
    2,012.58/3,017.54 = 970.52/x
  3. Step 3: Cross multiply
    2,012.58x = 3,017.54 × 970.52
  4. Step 4: Simplify right side
    2,012.58x = 2,928,570.26
  5. Step 5: Solve for x
    x = 2,928,570.26/2,012.58
  6. Step 6: Final answer
    x = 1,455.13

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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.