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Finding the Fourth Proportional to 1,681.33, 2,320.15 and 973.06

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Solution

The fourth proportional to 1,681.33, 2,320.15 and 973.06 is: 1,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.33 : 2,320.15 = 973.06 : x
  2. Step 2: Convert to fraction form
    1,681.33/2,320.15 = 973.06/x
  3. Step 3: Cross multiply
    1,681.33x = 2,320.15 × 973.06
  4. Step 4: Simplify right side
    1,681.33x = 2,257,645.16
  5. Step 5: Solve for x
    x = 2,257,645.16/1,681.33
  6. Step 6: Final answer
    x = 1,342.77

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