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Finding the Fourth Proportional to 3,001.64, 4,501.43 and 1,053.59

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Solution

The fourth proportional to 3,001.64, 4,501.43 and 1,053.59 is: 1,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.64 : 4,501.43 = 1,053.59 : x
  2. Step 2: Convert to fraction form
    3,001.64/4,501.43 = 1,053.59/x
  3. Step 3: Cross multiply
    3,001.64x = 4,501.43 × 1,053.59
  4. Step 4: Simplify right side
    3,001.64x = 4,742,633.86
  5. Step 5: Solve for x
    x = 4,742,633.86/3,001.64
  6. Step 6: Final answer
    x = 1,580.02

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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.