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Finding the Fourth Proportional to 1,502.99, 2,075.07 and 1,031.67

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Solution

The fourth proportional to 1,502.99, 2,075.07 and 1,031.67 is: 1,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.99 : 2,075.07 = 1,031.67 : x
  2. Step 2: Convert to fraction form
    1,502.99/2,075.07 = 1,031.67/x
  3. Step 3: Cross multiply
    1,502.99x = 2,075.07 × 1,031.67
  4. Step 4: Simplify right side
    1,502.99x = 2,140,787.47
  5. Step 5: Solve for x
    x = 2,140,787.47/1,502.99
  6. Step 6: Final answer
    x = 1,424.36

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Why These Related Problems?

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