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Finding the Fourth Proportional to 1,721.41, 2,374.99 and 975.31

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Solution

The fourth proportional to 1,721.41, 2,374.99 and 975.31 is: 1,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.41 : 2,374.99 = 975.31 : x
  2. Step 2: Convert to fraction form
    1,721.41/2,374.99 = 975.31/x
  3. Step 3: Cross multiply
    1,721.41x = 2,374.99 × 975.31
  4. Step 4: Simplify right side
    1,721.41x = 2,316,343.12
  5. Step 5: Solve for x
    x = 2,316,343.12/1,721.41
  6. Step 6: Final answer
    x = 1,345.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.