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Finding the Fourth Proportional to 2,602.95, 3,592.18 and 1,607.46

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Solution

The fourth proportional to 2,602.95, 3,592.18 and 1,607.46 is: 2,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.95 : 3,592.18 = 1,607.46 : x
  2. Step 2: Convert to fraction form
    2,602.95/3,592.18 = 1,607.46/x
  3. Step 3: Cross multiply
    2,602.95x = 3,592.18 × 1,607.46
  4. Step 4: Simplify right side
    2,602.95x = 5,774,285.66
  5. Step 5: Solve for x
    x = 5,774,285.66/2,602.95
  6. Step 6: Final answer
    x = 2,218.36

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1.5x scale

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.