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Finding the Fourth Proportional to 1,602.55, 2,210.60 and 1,012.06

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Solution

The fourth proportional to 1,602.55, 2,210.60 and 1,012.06 is: 1,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.55 : 2,210.60 = 1,012.06 : x
  2. Step 2: Convert to fraction form
    1,602.55/2,210.60 = 1,012.06/x
  3. Step 3: Cross multiply
    1,602.55x = 2,210.60 × 1,012.06
  4. Step 4: Simplify right side
    1,602.55x = 2,237,259.84
  5. Step 5: Solve for x
    x = 2,237,259.84/1,602.55
  6. Step 6: Final answer
    x = 1,396.06

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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.