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Finding the Fourth Proportional to 1,865.65, 2,574.46 and 1,026.34

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Solution

The fourth proportional to 1,865.65, 2,574.46 and 1,026.34 is: 1,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.65 : 2,574.46 = 1,026.34 : x
  2. Step 2: Convert to fraction form
    1,865.65/2,574.46 = 1,026.34/x
  3. Step 3: Cross multiply
    1,865.65x = 2,574.46 × 1,026.34
  4. Step 4: Simplify right side
    1,865.65x = 2,642,271.28
  5. Step 5: Solve for x
    x = 2,642,271.28/1,865.65
  6. Step 6: Final answer
    x = 1,416.27

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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.