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Finding the Fourth Proportional to 1,342.45, 1,853.40 and 877.51

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Solution

The fourth proportional to 1,342.45, 1,853.40 and 877.51 is: 1,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.45 : 1,853.40 = 877.51 : x
  2. Step 2: Convert to fraction form
    1,342.45/1,853.40 = 877.51/x
  3. Step 3: Cross multiply
    1,342.45x = 1,853.40 × 877.51
  4. Step 4: Simplify right side
    1,342.45x = 1,626,379.54
  5. Step 5: Solve for x
    x = 1,626,379.54/1,342.45
  6. Step 6: Final answer
    x = 1,211.50

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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.