Home / 1,565.65-2,160.21-975.76

Finding the Fourth Proportional to 1,565.65, 2,160.21 and 975.76

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Solution

The fourth proportional to 1,565.65, 2,160.21 and 975.76 is: 1,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.65 : 2,160.21 = 975.76 : x
  2. Step 2: Convert to fraction form
    1,565.65/2,160.21 = 975.76/x
  3. Step 3: Cross multiply
    1,565.65x = 2,160.21 × 975.76
  4. Step 4: Simplify right side
    1,565.65x = 2,107,846.51
  5. Step 5: Solve for x
    x = 2,107,846.51/1,565.65
  6. Step 6: Final answer
    x = 1,346.31

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1.5x scale

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.