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Finding the Fourth Proportional to 1,533.72, 2,116.36 and 870.40

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Solution

The fourth proportional to 1,533.72, 2,116.36 and 870.40 is: 1,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.72 : 2,116.36 = 870.40 : x
  2. Step 2: Convert to fraction form
    1,533.72/2,116.36 = 870.40/x
  3. Step 3: Cross multiply
    1,533.72x = 2,116.36 × 870.40
  4. Step 4: Simplify right side
    1,533.72x = 1,842,079.74
  5. Step 5: Solve for x
    x = 1,842,079.74/1,533.72
  6. Step 6: Final answer
    x = 1,201.05

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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.