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Finding the Fourth Proportional to 1,401.84, 1,933.68 and 877.77

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Solution

The fourth proportional to 1,401.84, 1,933.68 and 877.77 is: 1,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.84 : 1,933.68 = 877.77 : x
  2. Step 2: Convert to fraction form
    1,401.84/1,933.68 = 877.77/x
  3. Step 3: Cross multiply
    1,401.84x = 1,933.68 × 877.77
  4. Step 4: Simplify right side
    1,401.84x = 1,697,326.29
  5. Step 5: Solve for x
    x = 1,697,326.29/1,401.84
  6. Step 6: Final answer
    x = 1,210.78

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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.