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Finding the Fourth Proportional to 1,479.47, 2,040.95 and 948.08

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Solution

The fourth proportional to 1,479.47, 2,040.95 and 948.08 is: 1,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.47 : 2,040.95 = 948.08 : x
  2. Step 2: Convert to fraction form
    1,479.47/2,040.95 = 948.08/x
  3. Step 3: Cross multiply
    1,479.47x = 2,040.95 × 948.08
  4. Step 4: Simplify right side
    1,479.47x = 1,934,991.35
  5. Step 5: Solve for x
    x = 1,934,991.35/1,479.47
  6. Step 6: Final answer
    x = 1,307.90

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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.