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Finding the Fourth Proportional to 1,858.34, 2,564.51 and 1,019.03

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Solution

The fourth proportional to 1,858.34, 2,564.51 and 1,019.03 is: 1,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.34 : 2,564.51 = 1,019.03 : x
  2. Step 2: Convert to fraction form
    1,858.34/2,564.51 = 1,019.03/x
  3. Step 3: Cross multiply
    1,858.34x = 2,564.51 × 1,019.03
  4. Step 4: Simplify right side
    1,858.34x = 2,613,294.71
  5. Step 5: Solve for x
    x = 2,613,294.71/1,858.34
  6. Step 6: Final answer
    x = 1,406.25

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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.