Home / 1,681.64-2,320.62-972.98

Finding the Fourth Proportional to 1,681.64, 2,320.62 and 972.98

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Solution

The fourth proportional to 1,681.64, 2,320.62 and 972.98 is: 1,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.64 : 2,320.62 = 972.98 : x
  2. Step 2: Convert to fraction form
    1,681.64/2,320.62 = 972.98/x
  3. Step 3: Cross multiply
    1,681.64x = 2,320.62 × 972.98
  4. Step 4: Simplify right side
    1,681.64x = 2,257,916.85
  5. Step 5: Solve for x
    x = 2,257,916.85/1,681.64
  6. Step 6: Final answer
    x = 1,342.69

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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.