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Finding the Fourth Proportional to 1,973.51, 2,960.75 and 586.84

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Solution

The fourth proportional to 1,973.51, 2,960.75 and 586.84 is: 880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.51 : 2,960.75 = 586.84 : x
  2. Step 2: Convert to fraction form
    1,973.51/2,960.75 = 586.84/x
  3. Step 3: Cross multiply
    1,973.51x = 2,960.75 × 586.84
  4. Step 4: Simplify right side
    1,973.51x = 1,737,479.13
  5. Step 5: Solve for x
    x = 1,737,479.13/1,973.51
  6. Step 6: Final answer
    x = 880.40

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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.