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Finding the Fourth Proportional to 1,476.90, 2,216.66 and 784.08

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Solution

The fourth proportional to 1,476.90, 2,216.66 and 784.08 is: 1,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.90 : 2,216.66 = 784.08 : x
  2. Step 2: Convert to fraction form
    1,476.90/2,216.66 = 784.08/x
  3. Step 3: Cross multiply
    1,476.90x = 2,216.66 × 784.08
  4. Step 4: Simplify right side
    1,476.90x = 1,738,038.77
  5. Step 5: Solve for x
    x = 1,738,038.77/1,476.90
  6. Step 6: Final answer
    x = 1,176.82

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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.