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Finding the Fourth Proportional to 2,154.83, 2,973.84 and 1,210.69

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Solution

The fourth proportional to 2,154.83, 2,973.84 and 1,210.69 is: 1,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.83 : 2,973.84 = 1,210.69 : x
  2. Step 2: Convert to fraction form
    2,154.83/2,973.84 = 1,210.69/x
  3. Step 3: Cross multiply
    2,154.83x = 2,973.84 × 1,210.69
  4. Step 4: Simplify right side
    2,154.83x = 3,600,398.35
  5. Step 5: Solve for x
    x = 3,600,398.35/2,154.83
  6. Step 6: Final answer
    x = 1,670.85

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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.