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Finding the Fourth Proportional to 1,870, 2,804.99 and 571.45

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Solution

The fourth proportional to 1,870, 2,804.99 and 571.45 is: 857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870 : 2,804.99 = 571.45 : x
  2. Step 2: Convert to fraction form
    1,870/2,804.99 = 571.45/x
  3. Step 3: Cross multiply
    1,870x = 2,804.99 × 571.45
  4. Step 4: Simplify right side
    1,870x = 1,602,911.54
  5. Step 5: Solve for x
    x = 1,602,911.54/1,870
  6. Step 6: Final answer
    x = 857.17

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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.