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Finding the Fourth Proportional to 2,586.58, 3,569.40 and 1,407.64

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Solution

The fourth proportional to 2,586.58, 3,569.40 and 1,407.64 is: 1,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.58 : 3,569.40 = 1,407.64 : x
  2. Step 2: Convert to fraction form
    2,586.58/3,569.40 = 1,407.64/x
  3. Step 3: Cross multiply
    2,586.58x = 3,569.40 × 1,407.64
  4. Step 4: Simplify right side
    2,586.58x = 5,024,430.22
  5. Step 5: Solve for x
    x = 5,024,430.22/2,586.58
  6. Step 6: Final answer
    x = 1,942.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.