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Finding the Fourth Proportional to 1,341.77, 2,010.06 and 785.07

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Solution

The fourth proportional to 1,341.77, 2,010.06 and 785.07 is: 1,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.77 : 2,010.06 = 785.07 : x
  2. Step 2: Convert to fraction form
    1,341.77/2,010.06 = 785.07/x
  3. Step 3: Cross multiply
    1,341.77x = 2,010.06 × 785.07
  4. Step 4: Simplify right side
    1,341.77x = 1,578,037.80
  5. Step 5: Solve for x
    x = 1,578,037.80/1,341.77
  6. Step 6: Final answer
    x = 1,176.09

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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.