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Finding the Fourth Proportional to 2,070.98, 3,102.01 and 973.70

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Solution

The fourth proportional to 2,070.98, 3,102.01 and 973.70 is: 1,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.98 : 3,102.01 = 973.70 : x
  2. Step 2: Convert to fraction form
    2,070.98/3,102.01 = 973.70/x
  3. Step 3: Cross multiply
    2,070.98x = 3,102.01 × 973.70
  4. Step 4: Simplify right side
    2,070.98x = 3,020,427.14
  5. Step 5: Solve for x
    x = 3,020,427.14/2,070.98
  6. Step 6: Final answer
    x = 1,458.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.