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Finding the Fourth Proportional to 3,053.60, 4,580.33 and 973.57

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Solution

The fourth proportional to 3,053.60, 4,580.33 and 973.57 is: 1,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.60 : 4,580.33 = 973.57 : x
  2. Step 2: Convert to fraction form
    3,053.60/4,580.33 = 973.57/x
  3. Step 3: Cross multiply
    3,053.60x = 4,580.33 × 973.57
  4. Step 4: Simplify right side
    3,053.60x = 4,459,273.28
  5. Step 5: Solve for x
    x = 4,459,273.28/3,053.60
  6. Step 6: Final answer
    x = 1,460.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.