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Finding the Fourth Proportional to 1,681.74, 2,320.74 and 983.10

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Solution

The fourth proportional to 1,681.74, 2,320.74 and 983.10 is: 1,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.74 : 2,320.74 = 983.10 : x
  2. Step 2: Convert to fraction form
    1,681.74/2,320.74 = 983.10/x
  3. Step 3: Cross multiply
    1,681.74x = 2,320.74 × 983.10
  4. Step 4: Simplify right side
    1,681.74x = 2,281,519.49
  5. Step 5: Solve for x
    x = 2,281,519.49/1,681.74
  6. Step 6: Final answer
    x = 1,356.64

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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.