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Finding the Fourth Proportional to 3,053.79, 4,580.43 and 973.71

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Solution

The fourth proportional to 3,053.79, 4,580.43 and 973.71 is: 1,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.79 : 4,580.43 = 973.71 : x
  2. Step 2: Convert to fraction form
    3,053.79/4,580.43 = 973.71/x
  3. Step 3: Cross multiply
    3,053.79x = 4,580.43 × 973.71
  4. Step 4: Simplify right side
    3,053.79x = 4,460,010.50
  5. Step 5: Solve for x
    x = 4,460,010.50/3,053.79
  6. Step 6: Final answer
    x = 1,460.48

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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.