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Finding the Fourth Proportional to 1,357.30, 2,036.52 and 871.30

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Solution

The fourth proportional to 1,357.30, 2,036.52 and 871.30 is: 1,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.30 : 2,036.52 = 871.30 : x
  2. Step 2: Convert to fraction form
    1,357.30/2,036.52 = 871.30/x
  3. Step 3: Cross multiply
    1,357.30x = 2,036.52 × 871.30
  4. Step 4: Simplify right side
    1,357.30x = 1,774,419.88
  5. Step 5: Solve for x
    x = 1,774,419.88/1,357.30
  6. Step 6: Final answer
    x = 1,307.32

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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.