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Finding the Fourth Proportional to 1,437.76, 1,983.36 and 972.16

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Solution

The fourth proportional to 1,437.76, 1,983.36 and 972.16 is: 1,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.76 : 1,983.36 = 972.16 : x
  2. Step 2: Convert to fraction form
    1,437.76/1,983.36 = 972.16/x
  3. Step 3: Cross multiply
    1,437.76x = 1,983.36 × 972.16
  4. Step 4: Simplify right side
    1,437.76x = 1,928,143.26
  5. Step 5: Solve for x
    x = 1,928,143.26/1,437.76
  6. Step 6: Final answer
    x = 1,341.07

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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.