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Finding the Fourth Proportional to 1,509.57, 2,082.51 and 1,036.80

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Solution

The fourth proportional to 1,509.57, 2,082.51 and 1,036.80 is: 1,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.57 : 2,082.51 = 1,036.80 : x
  2. Step 2: Convert to fraction form
    1,509.57/2,082.51 = 1,036.80/x
  3. Step 3: Cross multiply
    1,509.57x = 2,082.51 × 1,036.80
  4. Step 4: Simplify right side
    1,509.57x = 2,159,146.37
  5. Step 5: Solve for x
    x = 2,159,146.37/1,509.57
  6. Step 6: Final answer
    x = 1,430.31

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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.