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Finding the Fourth Proportional to 1,975.32, 2,725.01 and 1,303.83

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Solution

The fourth proportional to 1,975.32, 2,725.01 and 1,303.83 is: 1,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.32 : 2,725.01 = 1,303.83 : x
  2. Step 2: Convert to fraction form
    1,975.32/2,725.01 = 1,303.83/x
  3. Step 3: Cross multiply
    1,975.32x = 2,725.01 × 1,303.83
  4. Step 4: Simplify right side
    1,975.32x = 3,552,948.16
  5. Step 5: Solve for x
    x = 3,552,948.16/1,975.32
  6. Step 6: Final answer
    x = 1,798.67

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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.