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Finding the Fourth Proportional to 1,852.19, 2,776.65 and 697.13

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Solution

The fourth proportional to 1,852.19, 2,776.65 and 697.13 is: 1,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.19 : 2,776.65 = 697.13 : x
  2. Step 2: Convert to fraction form
    1,852.19/2,776.65 = 697.13/x
  3. Step 3: Cross multiply
    1,852.19x = 2,776.65 × 697.13
  4. Step 4: Simplify right side
    1,852.19x = 1,935,672.13
  5. Step 5: Solve for x
    x = 1,935,672.13/1,852.19
  6. Step 6: Final answer
    x = 1,045.07

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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.