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Finding the Fourth Proportional to 1,510.44, 2,085 and 1,070.64

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Solution

The fourth proportional to 1,510.44, 2,085 and 1,070.64 is: 1,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.44 : 2,085 = 1,070.64 : x
  2. Step 2: Convert to fraction form
    1,510.44/2,085 = 1,070.64/x
  3. Step 3: Cross multiply
    1,510.44x = 2,085 × 1,070.64
  4. Step 4: Simplify right side
    1,510.44x = 2,232,284.40
  5. Step 5: Solve for x
    x = 2,232,284.40/1,510.44
  6. Step 6: Final answer
    x = 1,477.90

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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.