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Finding the Fourth Proportional to 1,420.41, 2,126.95 and 870.93

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Solution

The fourth proportional to 1,420.41, 2,126.95 and 870.93 is: 1,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.41 : 2,126.95 = 870.93 : x
  2. Step 2: Convert to fraction form
    1,420.41/2,126.95 = 870.93/x
  3. Step 3: Cross multiply
    1,420.41x = 2,126.95 × 870.93
  4. Step 4: Simplify right side
    1,420.41x = 1,852,424.56
  5. Step 5: Solve for x
    x = 1,852,424.56/1,420.41
  6. Step 6: Final answer
    x = 1,304.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.