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Finding the Fourth Proportional to 2,870.64, 4,306.50 and 1,409.40

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Solution

The fourth proportional to 2,870.64, 4,306.50 and 1,409.40 is: 2,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.64 : 4,306.50 = 1,409.40 : x
  2. Step 2: Convert to fraction form
    2,870.64/4,306.50 = 1,409.40/x
  3. Step 3: Cross multiply
    2,870.64x = 4,306.50 × 1,409.40
  4. Step 4: Simplify right side
    2,870.64x = 6,069,581.10
  5. Step 5: Solve for x
    x = 6,069,581.10/2,870.64
  6. Step 6: Final answer
    x = 2,114.37

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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.