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Finding the Fourth Proportional to 1,945.54, 2,916.93 and 970.95

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Solution

The fourth proportional to 1,945.54, 2,916.93 and 970.95 is: 1,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.54 : 2,916.93 = 970.95 : x
  2. Step 2: Convert to fraction form
    1,945.54/2,916.93 = 970.95/x
  3. Step 3: Cross multiply
    1,945.54x = 2,916.93 × 970.95
  4. Step 4: Simplify right side
    1,945.54x = 2,832,193.18
  5. Step 5: Solve for x
    x = 2,832,193.18/1,945.54
  6. Step 6: Final answer
    x = 1,455.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.