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Finding the Fourth Proportional to 1,316.84, 1,972.94 and 877.86

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Solution

The fourth proportional to 1,316.84, 1,972.94 and 877.86 is: 1,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.84 : 1,972.94 = 877.86 : x
  2. Step 2: Convert to fraction form
    1,316.84/1,972.94 = 877.86/x
  3. Step 3: Cross multiply
    1,316.84x = 1,972.94 × 877.86
  4. Step 4: Simplify right side
    1,316.84x = 1,731,965.11
  5. Step 5: Solve for x
    x = 1,731,965.11/1,316.84
  6. Step 6: Final answer
    x = 1,315.24

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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.