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Finding the Fourth Proportional to 1,970.29, 2,955.40 and 489.51

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Solution

The fourth proportional to 1,970.29, 2,955.40 and 489.51 is: 734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.29 : 2,955.40 = 489.51 : x
  2. Step 2: Convert to fraction form
    1,970.29/2,955.40 = 489.51/x
  3. Step 3: Cross multiply
    1,970.29x = 2,955.40 × 489.51
  4. Step 4: Simplify right side
    1,970.29x = 1,446,696.63
  5. Step 5: Solve for x
    x = 1,446,696.63/1,970.29
  6. Step 6: Final answer
    x = 734.26

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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.