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Finding the Fourth Proportional to 1,973.02, 2,959.01 and 585.98

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Solution

The fourth proportional to 1,973.02, 2,959.01 and 585.98 is: 878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.02 : 2,959.01 = 585.98 : x
  2. Step 2: Convert to fraction form
    1,973.02/2,959.01 = 585.98/x
  3. Step 3: Cross multiply
    1,973.02x = 2,959.01 × 585.98
  4. Step 4: Simplify right side
    1,973.02x = 1,733,920.68
  5. Step 5: Solve for x
    x = 1,733,920.68/1,973.02
  6. Step 6: Final answer
    x = 878.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.