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Finding the Fourth Proportional to 1,430.74, 1,975.14 and 1,354.43

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Solution

The fourth proportional to 1,430.74, 1,975.14 and 1,354.43 is: 1,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.74 : 1,975.14 = 1,354.43 : x
  2. Step 2: Convert to fraction form
    1,430.74/1,975.14 = 1,354.43/x
  3. Step 3: Cross multiply
    1,430.74x = 1,975.14 × 1,354.43
  4. Step 4: Simplify right side
    1,430.74x = 2,675,193.81
  5. Step 5: Solve for x
    x = 2,675,193.81/1,430.74
  6. Step 6: Final answer
    x = 1,869.80

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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.