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Finding the Fourth Proportional to 1,184.34, 1,767.72 and 1,045.95

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Solution

The fourth proportional to 1,184.34, 1,767.72 and 1,045.95 is: 1,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.34 : 1,767.72 = 1,045.95 : x
  2. Step 2: Convert to fraction form
    1,184.34/1,767.72 = 1,045.95/x
  3. Step 3: Cross multiply
    1,184.34x = 1,767.72 × 1,045.95
  4. Step 4: Simplify right side
    1,184.34x = 1,848,946.73
  5. Step 5: Solve for x
    x = 1,848,946.73/1,184.34
  6. Step 6: Final answer
    x = 1,561.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.