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Finding the Fourth Proportional to 1,501.84, 2,072.08 and 1,187.16

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Solution

The fourth proportional to 1,501.84, 2,072.08 and 1,187.16 is: 1,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.84 : 2,072.08 = 1,187.16 : x
  2. Step 2: Convert to fraction form
    1,501.84/2,072.08 = 1,187.16/x
  3. Step 3: Cross multiply
    1,501.84x = 2,072.08 × 1,187.16
  4. Step 4: Simplify right side
    1,501.84x = 2,459,890.49
  5. Step 5: Solve for x
    x = 2,459,890.49/1,501.84
  6. Step 6: Final answer
    x = 1,637.92

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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.