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Finding the Fourth Proportional to 1,533.76, 2,116.64 and 835.16

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Solution

The fourth proportional to 1,533.76, 2,116.64 and 835.16 is: 1,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.76 : 2,116.64 = 835.16 : x
  2. Step 2: Convert to fraction form
    1,533.76/2,116.64 = 835.16/x
  3. Step 3: Cross multiply
    1,533.76x = 2,116.64 × 835.16
  4. Step 4: Simplify right side
    1,533.76x = 1,767,733.06
  5. Step 5: Solve for x
    x = 1,767,733.06/1,533.76
  6. Step 6: Final answer
    x = 1,152.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.