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Finding the Fourth Proportional to 1,257.47, 1,884.67 and 948.35

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Solution

The fourth proportional to 1,257.47, 1,884.67 and 948.35 is: 1,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.47 : 1,884.67 = 948.35 : x
  2. Step 2: Convert to fraction form
    1,257.47/1,884.67 = 948.35/x
  3. Step 3: Cross multiply
    1,257.47x = 1,884.67 × 948.35
  4. Step 4: Simplify right side
    1,257.47x = 1,787,315.00
  5. Step 5: Solve for x
    x = 1,787,315.00/1,257.47
  6. Step 6: Final answer
    x = 1,421.36

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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.