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Finding the Fourth Proportional to 3,053.88, 4,580.58 and 973.80

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Solution

The fourth proportional to 3,053.88, 4,580.58 and 973.80 is: 1,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.88 : 4,580.58 = 973.80 : x
  2. Step 2: Convert to fraction form
    3,053.88/4,580.58 = 973.80/x
  3. Step 3: Cross multiply
    3,053.88x = 4,580.58 × 973.80
  4. Step 4: Simplify right side
    3,053.88x = 4,460,548.34
  5. Step 5: Solve for x
    x = 4,460,548.34/3,053.88
  6. Step 6: Final answer
    x = 1,460.62

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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.