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Finding the Fourth Proportional to 1,580.19, 2,370.18 and 655.51

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Solution

The fourth proportional to 1,580.19, 2,370.18 and 655.51 is: 983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.19 : 2,370.18 = 655.51 : x
  2. Step 2: Convert to fraction form
    1,580.19/2,370.18 = 655.51/x
  3. Step 3: Cross multiply
    1,580.19x = 2,370.18 × 655.51
  4. Step 4: Simplify right side
    1,580.19x = 1,553,676.69
  5. Step 5: Solve for x
    x = 1,553,676.69/1,580.19
  6. Step 6: Final answer
    x = 983.22

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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.