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Finding the Fourth Proportional to 2,503.73, 3,455.26 and 1,560.08

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Solution

The fourth proportional to 2,503.73, 3,455.26 and 1,560.08 is: 2,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.73 : 3,455.26 = 1,560.08 : x
  2. Step 2: Convert to fraction form
    2,503.73/3,455.26 = 1,560.08/x
  3. Step 3: Cross multiply
    2,503.73x = 3,455.26 × 1,560.08
  4. Step 4: Simplify right side
    2,503.73x = 5,390,482.02
  5. Step 5: Solve for x
    x = 5,390,482.02/2,503.73
  6. Step 6: Final answer
    x = 2,152.98

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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.