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Finding the Fourth Proportional to 1,648.89, 2,477.37 and 1,064.19

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Solution

The fourth proportional to 1,648.89, 2,477.37 and 1,064.19 is: 1,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.89 : 2,477.37 = 1,064.19 : x
  2. Step 2: Convert to fraction form
    1,648.89/2,477.37 = 1,064.19/x
  3. Step 3: Cross multiply
    1,648.89x = 2,477.37 × 1,064.19
  4. Step 4: Simplify right side
    1,648.89x = 2,636,392.38
  5. Step 5: Solve for x
    x = 2,636,392.38/1,648.89
  6. Step 6: Final answer
    x = 1,598.89

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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.