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Finding the Fourth Proportional to 1,719.47, 2,373 and 973.51

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Solution

The fourth proportional to 1,719.47, 2,373 and 973.51 is: 1,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.47 : 2,373 = 973.51 : x
  2. Step 2: Convert to fraction form
    1,719.47/2,373 = 973.51/x
  3. Step 3: Cross multiply
    1,719.47x = 2,373 × 973.51
  4. Step 4: Simplify right side
    1,719.47x = 2,310,139.23
  5. Step 5: Solve for x
    x = 2,310,139.23/1,719.47
  6. Step 6: Final answer
    x = 1,343.52

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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.