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Finding the Fourth Proportional to 1,570.10, 2,355.15 and 865.40

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Solution

The fourth proportional to 1,570.10, 2,355.15 and 865.40 is: 1,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.10 : 2,355.15 = 865.40 : x
  2. Step 2: Convert to fraction form
    1,570.10/2,355.15 = 865.40/x
  3. Step 3: Cross multiply
    1,570.10x = 2,355.15 × 865.40
  4. Step 4: Simplify right side
    1,570.10x = 2,038,146.81
  5. Step 5: Solve for x
    x = 2,038,146.81/1,570.10
  6. Step 6: Final answer
    x = 1,298.10

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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.