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Finding the Fourth Proportional to 1,507.30, 2,080.18 and 877.98

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Solution

The fourth proportional to 1,507.30, 2,080.18 and 877.98 is: 1,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.30 : 2,080.18 = 877.98 : x
  2. Step 2: Convert to fraction form
    1,507.30/2,080.18 = 877.98/x
  3. Step 3: Cross multiply
    1,507.30x = 2,080.18 × 877.98
  4. Step 4: Simplify right side
    1,507.30x = 1,826,356.44
  5. Step 5: Solve for x
    x = 1,826,356.44/1,507.30
  6. Step 6: Final answer
    x = 1,211.67

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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.