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Finding the Fourth Proportional to 1,312.04, 1,968.74 and 1,219.10

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Solution

The fourth proportional to 1,312.04, 1,968.74 and 1,219.10 is: 1,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.04 : 1,968.74 = 1,219.10 : x
  2. Step 2: Convert to fraction form
    1,312.04/1,968.74 = 1,219.10/x
  3. Step 3: Cross multiply
    1,312.04x = 1,968.74 × 1,219.10
  4. Step 4: Simplify right side
    1,312.04x = 2,400,074.99
  5. Step 5: Solve for x
    x = 2,400,074.99/1,312.04
  6. Step 6: Final answer
    x = 1,829.28

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1.5x scale

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.